From 5ea9afab9ddc1383d82abc5464cb8a884c9a3d19 Mon Sep 17 00:00:00 2001 From: Drew Lewis Date: Tue, 12 May 2026 21:49:40 +0000 Subject: [PATCH 1/5] EV1 interactive --- source/linear-algebra/source/02-EV/01.ptx | 21 +++++++++- .../02-EV/doenet/LE2-span-two-vectors.xml | 40 +++++++++++++++++++ 2 files changed, 59 insertions(+), 2 deletions(-) create mode 100644 source/linear-algebra/source/02-EV/doenet/LE2-span-two-vectors.xml diff --git a/source/linear-algebra/source/02-EV/01.ptx b/source/linear-algebra/source/02-EV/01.ptx index e09a7399a..e6691415b 100644 --- a/source/linear-algebra/source/02-EV/01.ptx +++ b/source/linear-algebra/source/02-EV/01.ptx @@ -221,7 +221,24 @@ we refer to this real number as a scalar.

-

+

In addition to the combinations above, use the interactive below to graph an additional + 5 or more vectors belonging to + \vspan\left\{\left[\begin{array}{c}1\\2\end{array}\right], + \left[\begin{array}{c}-1\\1\end{array}\right]\right\}= + \setBuilder{a\left[\begin{array}{c}1\\2\end{array}\right]+ + b\left[\begin{array}{c}-1\\1\end{array}\right]}{a, b \in \IR} + in the xy plane. +

+ + + + + +

An interactive that graphs linear combinations of the vectors \left[\begin{array}{c}1\\2\end{array}\right] and + \left[\begin{array}{c}-1\\1\end{array}\right].

+ + +
  1. A line
  2. A plane
    3. diff --git a/source/linear-algebra/source/02-EV/doenet/LE2-span-two-vectors.xml b/source/linear-algebra/source/02-EV/doenet/LE2-span-two-vectors.xml new file mode 100644 index 000000000..843d830ce --- /dev/null +++ b/source/linear-algebra/source/02-EV/doenet/LE2-span-two-vectors.xml @@ -0,0 +1,40 @@ +

    + Enter several pairs of coefficients, separated by commas: + +

    +$in + + + + (1,2) + + + + (-1,1) + + + + + + + + $l.maths + + + + +

    The vectors + + + $l.maths + + all belong to {\rm span}\ \left\{\left[\begin{array}{c} $v.x \\ $v.y\end{array}\right], \left[\begin{array}{c} $w.x \\ $w.y\end{array}\right]\right\}. +

    \ No newline at end of file From 16aa3f8c25f959a83e96fd44213ada71c73b333c Mon Sep 17 00:00:00 2001 From: Drew Lewis Date: Tue, 12 May 2026 21:58:26 +0000 Subject: [PATCH 2/5] Fix errors --- source/linear-algebra/source/01-LE/01.ptx | 12 ++++++------ ...span-two-vectors.xml => EV2-span-two-vectors.xml} | 0 2 files changed, 6 insertions(+), 6 deletions(-) rename source/linear-algebra/source/02-EV/doenet/{LE2-span-two-vectors.xml => EV2-span-two-vectors.xml} (100%) diff --git a/source/linear-algebra/source/01-LE/01.ptx b/source/linear-algebra/source/01-LE/01.ptx index a2c54d722..9b0099eed 100644 --- a/source/linear-algebra/source/01-LE/01.ptx +++ b/source/linear-algebra/source/01-LE/01.ptx @@ -508,7 +508,7 @@ system). Otherwise it is inconsistent.inconsistent linear s
    Intersection of three planes at one point - + @@ -516,7 +516,7 @@ system). Otherwise it is inconsistent.inconsistent linear s

    Three planes are shown to intersect at a single point. An arrow points to the point of intersection at coordinates (1,2,3).

    - + @@ -528,7 +528,7 @@ system). Otherwise it is inconsistent.inconsistent linear s
    Intersection of three planes at a line - + @@ -536,7 +536,7 @@ system). Otherwise it is inconsistent.inconsistent linear s

    Three planes are shown to intersect along a line of points.

    - + @@ -548,7 +548,7 @@ system). Otherwise it is inconsistent.inconsistent linear s
    Three non-mutually-intersecting planes - + @@ -556,7 +556,7 @@ system). Otherwise it is inconsistent.inconsistent linear s

    Three planes are shown to intersect at no common point, although each pair of planes intersects along a line of points.

    - + diff --git a/source/linear-algebra/source/02-EV/doenet/LE2-span-two-vectors.xml b/source/linear-algebra/source/02-EV/doenet/EV2-span-two-vectors.xml similarity index 100% rename from source/linear-algebra/source/02-EV/doenet/LE2-span-two-vectors.xml rename to source/linear-algebra/source/02-EV/doenet/EV2-span-two-vectors.xml From b8bc3d376b32f834326ad050379519c5cf25f39c Mon Sep 17 00:00:00 2001 From: Drew Lewis Date: Wed, 13 May 2026 02:41:05 +0000 Subject: [PATCH 3/5] Swap out map for repeat --- source/linear-algebra/source/02-EV/01.ptx | 2 +- .../02-EV/doenet/EV1-span-two-vectors.xml | 41 +++++++++++++++++++ .../02-EV/doenet/EV2-span-two-vectors.xml | 40 ------------------ 3 files changed, 42 insertions(+), 41 deletions(-) create mode 100644 source/linear-algebra/source/02-EV/doenet/EV1-span-two-vectors.xml delete mode 100644 source/linear-algebra/source/02-EV/doenet/EV2-span-two-vectors.xml diff --git a/source/linear-algebra/source/02-EV/01.ptx b/source/linear-algebra/source/02-EV/01.ptx index e6691415b..e927c0331 100644 --- a/source/linear-algebra/source/02-EV/01.ptx +++ b/source/linear-algebra/source/02-EV/01.ptx @@ -231,7 +231,7 @@ we refer to this real number as a scalar.

    - +

    An interactive that graphs linear combinations of the vectors \left[\begin{array}{c}1\\2\end{array}\right] and diff --git a/source/linear-algebra/source/02-EV/doenet/EV1-span-two-vectors.xml b/source/linear-algebra/source/02-EV/doenet/EV1-span-two-vectors.xml new file mode 100644 index 000000000..2a5fc833c --- /dev/null +++ b/source/linear-algebra/source/02-EV/doenet/EV1-span-two-vectors.xml @@ -0,0 +1,41 @@ +

    + Enter several pairs of coefficients, separated by commas: + +

    +$in + + + Graph + + (1,2) + + + (-1,1) + + + + + + $c.x*$v+$c.y*$w + + + + + + +

    + The vectors + + $c.x*$v+$c.y*$w + \left[\begin{array}{c} $p.x \\ $p.y \end{array}\right], + + all belong to + + {\rm span}\ \left\{\left[\begin{array}{c} $v.x \\ $v.y\end{array}\right], + \left[\begin{array}{c}$w.x \\ $w.y\end{array}\right]\right\} + . +

    \ No newline at end of file diff --git a/source/linear-algebra/source/02-EV/doenet/EV2-span-two-vectors.xml b/source/linear-algebra/source/02-EV/doenet/EV2-span-two-vectors.xml deleted file mode 100644 index 843d830ce..000000000 --- a/source/linear-algebra/source/02-EV/doenet/EV2-span-two-vectors.xml +++ /dev/null @@ -1,40 +0,0 @@ -

    - Enter several pairs of coefficients, separated by commas: - -

    -$in - - - - (1,2) - - - - (-1,1) - - - - - - - - $l.maths - - - - -

    The vectors - - - $l.maths - - all belong to {\rm span}\ \left\{\left[\begin{array}{c} $v.x \\ $v.y\end{array}\right], \left[\begin{array}{c} $w.x \\ $w.y\end{array}\right]\right\}. -

    \ No newline at end of file From 928753c1c514b692fccb4345163a79dbfdf522af Mon Sep 17 00:00:00 2001 From: Drew Lewis Date: Wed, 13 May 2026 16:41:44 +0000 Subject: [PATCH 4/5] Update interactive --- .../02-EV/doenet/EV1-span-two-vectors.xml | 74 ++++++++++++------- 1 file changed, 46 insertions(+), 28 deletions(-) diff --git a/source/linear-algebra/source/02-EV/doenet/EV1-span-two-vectors.xml b/source/linear-algebra/source/02-EV/doenet/EV1-span-two-vectors.xml index 2a5fc833c..4b58e3d13 100644 --- a/source/linear-algebra/source/02-EV/doenet/EV1-span-two-vectors.xml +++ b/source/linear-algebra/source/02-EV/doenet/EV1-span-two-vectors.xml @@ -2,40 +2,58 @@ Enter several pairs of coefficients, separated by commas:

    -$in - - Graph - - (1,2) - - (-1,1) - - + + + + - - $c.x*$v+$c.y*$w - + + + - - + + -

    - The vectors - - $c.x*$v+$c.y*$w - \left[\begin{array}{c} $p.x \\ $p.y \end{array}\right], - - all belong to - - {\rm span}\ \left\{\left[\begin{array}{c} $v.x \\ $v.y\end{array}\right], - \left[\begin{array}{c}$w.x \\ $w.y\end{array}\right]\right\} - . -

    \ No newline at end of file + + + + + + + +     + + + Graph of two vectors and linear combinations thereof + + + + + + + From f6873f3221ac07ae934b08203d8c50d16d0d9c73 Mon Sep 17 00:00:00 2001 From: Drew Lewis Date: Wed, 13 May 2026 16:51:39 +0000 Subject: [PATCH 5/5] Tweaks --- source/linear-algebra/source/02-EV/01.ptx | 44 ++++++------------- .../02-EV/doenet/EV1-span-two-vectors.xml | 2 +- 2 files changed, 14 insertions(+), 32 deletions(-) diff --git a/source/linear-algebra/source/02-EV/01.ptx b/source/linear-algebra/source/02-EV/01.ptx index e927c0331..c5ab6ec6a 100644 --- a/source/linear-algebra/source/02-EV/01.ptx +++ b/source/linear-algebra/source/02-EV/01.ptx @@ -221,45 +221,27 @@ we refer to this real number as a scalar.

    -

    In addition to the combinations above, use the interactive below to graph an additional +

    + In addition to the combinations above, use the interactive below to graph an additional 5 or more vectors belonging to \vspan\left\{\left[\begin{array}{c}1\\2\end{array}\right], \left[\begin{array}{c}-1\\1\end{array}\right]\right\}= \setBuilder{a\left[\begin{array}{c}1\\2\end{array}\right]+ b\left[\begin{array}{c}-1\\1\end{array}\right]}{a, b \in \IR} in the xy plane. -

    - - - - - -

    An interactive that graphs linear combinations of the vectors \left[\begin{array}{c}1\\2\end{array}\right] and - \left[\begin{array}{c}-1\\1\end{array}\right].

    -     -     -
    1. A line
    2. A plane
      3. diff --git a/source/linear-algebra/source/02-EV/doenet/EV1-span-two-vectors.xml b/source/linear-algebra/source/02-EV/doenet/EV1-span-two-vectors.xml index 4b58e3d13..cfaf9f54e 100644 --- a/source/linear-algebra/source/02-EV/doenet/EV1-span-two-vectors.xml +++ b/source/linear-algebra/source/02-EV/doenet/EV1-span-two-vectors.xml @@ -1,5 +1,5 @@

      - Enter several pairs of coefficients, separated by commas: + Enter several pairs of coefficients (a,b), separated by commas: