Multiply Scalar Matrix: To find the product of a scalar and a matrix, we multiply each element of the matrix by the scalar. So, we will multiply each element of the matrix [1amp;0−2amp;−1] by −5.
Element Multiplication: The first element of the matrix is 1. Multiplying it by −5 gives −5.
Resulting Matrix: The second element of the matrix is 0. Multiplying it by −5 gives 0.
Resulting Matrix: The second element of the matrix is 0. Multiplying it by −5 gives 0.The third element of the matrix is −2. Multiplying it by −5 gives 10.
Resulting Matrix: The second element of the matrix is 0. Multiplying it by −5 gives 0.The third element of the matrix is −2. Multiplying it by −5 gives 10.The fourth element of the matrix is −1. Multiplying it by −5 gives 5.
Resulting Matrix: The second element of the matrix is 0. Multiplying it by −5 gives 0.The third element of the matrix is −2. Multiplying it by −5 gives 10.The fourth element of the matrix is −1. Multiplying it by −5 gives 5.Now we can write down the resulting matrix after multiplying each element by −5.The resulting matrix is −50.
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