Given the matrix \begin{equation*} A = \begin{bmatrix} c & 6 & 6\\ c & -4 & 6\\ 6 & -1 & c \end{bmatrix}, \end{equation*}find all values of $c$ for which the matrix $A$ is singular. Enter the values of $c$ as a comma-separated list:
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Step 1: A matrix is singular if and only if its determinant is zero. Show more…
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Problem 10. (6 points) Given the matrix A, find all values of c for which the matrix A is singular. Enter the values of c as a comma-separated list.
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Find the transpose of each matrix: $A=\left[\begin{array}{rrr}1 & -2 & 3 \\ 7 & 8 & -9\end{array}\right], \quad B=\left[\begin{array}{lll}1 & 2 & 3 \\ 2 & 4 & 5 \\ 3 & 5 & 6\end{array}\right], \quad C=[1,-3,5,-7], \quad D=\left[\begin{array}{r}2 \\ -4 \\ 6\end{array}\right]$
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