Find the product, if possible. [8 -7 3][} 9&-8&-7 3&-9&5 -2&-7&-8 ] A. [45-22-115] B. [} 72&56&-21 24&63&15 -16&-16&-24 ] C. [} 45 -22 -115 ] D. [} 8&-7&3 9&-8&-7 3&-9&5 -2&-7&-8 ]

To find the product of the given matrices, we need to multiply the first matrix with the second matrix. The first matrix is a 1x3 matrix, and the second matrix is a 3x3 matrix. To multiply these matrices, we need to perform the dot product of each row of the first matrix with each column of the second matrix.Let's calculate the product step by step:1. Multiply the first row of the first matrix with each column of the second matrix: - First row, first column: (8 * 9) + (-7 * 3) + (3 * -2) = 72 - 21 - 6 = 45 - First row, second column: (8 * -8) + (-7 * -9) + (3 * -7) = -64 + 63 - 21 = -22 - First row, third column: (8 * -7) + (-7 * 5) + (3 * -8) = -56 - 35 - 24 = -1152. Multiply the second row of the first matrix with each column of the second matrix: - Second row, first column: (3 * 9) + (-9 * 3) + (5 * -2) = 27 - 27 - 10 = -10 - Second row, second column: (3 * -8) + (-9 * -9) + (5 * -7) = -24 + 81 - 35 = 22 - Second row, third column: (3 * -7) + (-9 * 5) + (5 * -8) = -21 - 45 - 40 = -1063. Multiply the third row of the first matrix with each column of the second matrix: - Third row, first column: (-2 * 9) + (-7 * 3) + (-8 * -2) = -18 - 21 + 16 = -23 - Third row, second column: (-2 * -8) + (-7 * -9) + (-8 * -7) = 16 + 63 + 56 = 135 - Third row, third column: (-2 * -7) + (-7 * 5) + (-8 * -8) = 14 - 35 + 64 = 43Therefore, the product of the given matrices is: So, the correct answer is C.