diff --git a/source/linear-algebra/source/02-EV/06.ptx b/source/linear-algebra/source/02-EV/06.ptx index 7da2f27c1..825e9cd9d 100644 --- a/source/linear-algebra/source/02-EV/06.ptx +++ b/source/linear-algebra/source/02-EV/06.ptx @@ -111,13 +111,44 @@ Given a matrix M Is \left[\begin{array}{c}2\\1\\3\end{array}\right] in the column space of M? Is it in the row space of M?

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    +
  1. +

    + Yes. +

    +
  2. +
  3. +

    + No. +

    +
  4. +
+ + +

Is \left[\begin{array}{c}1\\10\\-3\end{array}\right] in the column space of M? Is it in the row space of M?

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    +
  1. +

    + Yes. +

    +
  2. +
  3. +

    + No. +

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  4. +
+ + +
+

@@ -128,6 +159,21 @@ Given a matrix M Are the row space and column space of M both equal to \mathbb{R}^3?

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    +
  1. +

    + Yes. +

    +
  2. +
  3. +

    + No. +

    +
  4. +
+ + +