diff --git a/source/linear-algebra/source/04-MX/03.ptx b/source/linear-algebra/source/04-MX/03.ptx index 582acd20e..ce5a873ea 100644 --- a/source/linear-algebra/source/04-MX/03.ptx +++ b/source/linear-algebra/source/04-MX/03.ptx @@ -79,7 +79,7 @@ x_2\begin{bmatrix}1\\-1\\1\end{bmatrix}+ x_3\begin{bmatrix}0\\1\\1\end{bmatrix} -
    +
    1. Zero

    2. At most one

    3. Exactly one

    4. @@ -103,7 +103,7 @@ If \vec x=\left[\begin{array}{c}x_1\\x_2\\x_3\end{array}\right] and B = \left[\begin{array}{ccc}\vec b_1& \vec b_2&\vec b_3\end{array}\right]=\left[\begin{array}{ccc}1&1&0\\0&-1&1\\1&1&1\end{array}\right], which of these matrix equations can be used to find x_1,x_2,x_3? -
        +
        1. \vec v=B\vec x

        2. B\vec v=\vec x

        3. \vec v=B^{-1}\vec x

        4. diff --git a/source/linear-algebra/source/future-ON/01.ptx b/source/linear-algebra/source/future-ON/01.ptx index cd5c34969..8528f87ee 100644 --- a/source/linear-algebra/source/future-ON/01.ptx +++ b/source/linear-algebra/source/future-ON/01.ptx @@ -23,7 +23,7 @@

          Let \vec v =\left[\begin{array}{c} 1 \\ -1 \\ 0 \\ 2 \\ 3 \end{array}\right] and \vec w=\left[\begin{array}{c} 5 \\ 12 \\ -1 \\ 1 \\ 2 \end{array}\right]. What is \vec v \circledast \vec w?

          -
            +
            1. 25
            2. \left[\begin{array}{c} 5 \\ -12 \\ 0 \\ 2 \\ 6 \end{array}\right]
            3. 1