Question

11. Solve the following matrix equations: (b) $X \begin{pmatrix} 2 & 1 \ 2 & 1 \end{pmatrix} = \begin{pmatrix} 1 & 0 \ 0 & 1 \end{pmatrix}$ (c) $\begin{pmatrix} -1 & 1 \ 1 & -1 \end{pmatrix} (XB - B) = 0$ $det(B) \neq 0$

          11. Solve the following matrix equations:
(b)
$X \begin{pmatrix} 2 & 1 \ 2 & 1 \end{pmatrix} = \begin{pmatrix} 1 & 0 \ 0 & 1 \end{pmatrix}$
(c)
$\begin{pmatrix} -1 & 1 \ 1 & -1 \end{pmatrix} (XB - B) = 0$ $det(B) \neq 0$

11. Solve the following matrix equations:
(b)
X
< p m a t r i x >
=
< p m a t r i x >
(c)
< p m a t r i x >
(XB - B) = 0 det(B) ≠ 0

Added by Frank J.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Gregory Higby

08/28/2021

Step 1

Since the coefficient matrix is the identity matrix, we can simply multiply both sides of the equation by the inverse of the coefficient matrix to solve for x. In this case, the inverse of the identity matrix is also the identity matrix, so we have: x = Show more…

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