Question

Perform the indicated operations, given c=-2, B=[[ 2 1; 3 -1 ]], and C=[[ 0 1; -1 0 ]].

Answer 1

The student's question involves performing arithmetic operations with given matrices and a scalar. The specifics of the requested operations are not provided. An example calculation for scalar multiplication with the scalar value c=-2 and matrix B, results in multiplying each entry of B by -2.

Step-by-step explanation:

The student has asked for operations to be performed given some matrices and a scalar value. The operations themselves aren't specified, but generally could include matrix addition, subtraction, multiplication or scalar multiplication. Using the given matrices B and C, and scalar c, we might be asked to find cB or B+C or another operation. For an example with scalar multiplication, if we multiply matrix B with scalar c=-2, the result would be a matrix where each entry of the original matrix B has been multiplied by -2.

To perform this operation, we take each entry of matrix B which is
`\(\begin{bmatrix} 2 & 1 \\ 3 & -1 \end{bmatrix}\)` and multiply by -2, resulting in
`\(\begin{bmatrix} -4 & -2 \\ -6 & 2 \end{bmatrix}\)`.

For addition or subtraction with matrix C, it's important to note that these operations are only defined when the matrices have the same dimensions.