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Find the product.

-5*[[1,0],[-2,-1]]=

Find the product.\newline5[1021]= -5 \cdot\left[\begin{array}{cc} 1 & 0 \\ -2 & -1 \end{array}\right]=

Full solution

Q. Find the product.\newline5[1021]= -5 \cdot\left[\begin{array}{cc} 1 & 0 \\ -2 & -1 \end{array}\right]=
  1. 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 [10 21]\left[\begin{array}{cc} 1 & 0 \ -2 & -1 \end{array}\right] by 5-5.
  2. Element Multiplication: The first element of the matrix is 11. Multiplying it by 5-5 gives 5-5.
  3. Resulting Matrix: The second element of the matrix is 00. Multiplying it by 5-5 gives 00.
  4. Resulting Matrix: The second element of the matrix is 00. Multiplying it by 5-5 gives 00.The third element of the matrix is 2-2. Multiplying it by 5-5 gives 1010.
  5. Resulting Matrix: The second element of the matrix is 00. Multiplying it by 5-5 gives 00.The third element of the matrix is 2-2. Multiplying it by 5-5 gives 1010.The fourth element of the matrix is 1-1. Multiplying it by 5-5 gives 55.
  6. Resulting Matrix: The second element of the matrix is 00. Multiplying it by 5-5 gives 00.The third element of the matrix is 2-2. Multiplying it by 5-5 gives 1010.The fourth element of the matrix is 1-1. Multiplying it by 5-5 gives 55.Now we can write down the resulting matrix after multiplying each element by 5-5.\newlineThe resulting matrix is 5-500.