[Solution] Matrix Algebra P2

Solving Matrix Equations

6 Activities

Find the matrix A:
[2A‾T−3I‾]−1=[3111]\left[  2\underline{A}^T -3\underline{I} \right]^{-1}
=\begin{bmatrix}
3&1\\1&1
\end{bmatrix}[2A​T−3I​]−1=[31​11​]

A‾=12[7−1−19]\A =
\frac12
\begin{bmatrix}
7 & -1 \\
-1 & 9
\end{bmatrix}A​=21​[7−1​−19​]

A‾=14[−711−9]\A =
\frac14
\begin{bmatrix}
-7 & 1 \\
1 & -9
\end{bmatrix}A​=41​[−71​1−9​]

A‾=12[−711−9]\A =
\frac12
\begin{bmatrix}
-7 & 1 \\
1 & -9
\end{bmatrix}A​=21​[−71​1−9​]

A‾=14[7−1−19]\A =
\frac14
\begin{bmatrix}
7 & -1 \\
-1 & 9
\end{bmatrix}A​=41​[7−1​−19​]

I don't know

Practice Question: Matrix Operations

Practice Question: Matrix Operations
Find the matrix A if (AT+[1−221])T=3A−2[3−101]\left(A^T+\begin{bmatrix}
1&-2\\
2&1
\end{bmatrix}\right)^T=3A-2\begin{bmatrix}
3&-1\\
0&1
\end{bmatrix}(AT+[12​−21​])T=3A−2[30​−11​].

Matrix Algebra P2

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Practice Question: Matrix Operations