What is the value of d sub 21 plus d sub 22 plus d sub 23 given the matrix equation? cap d plus the 3 by 3 matrix, row 1, column 1, 1 column 2, 0 column 3, 1 row 2, column 1, negative 3 column 2, 9 column 3, negative 7 row 3, column 1, negative 20 column 2, 2 column 3, 4 is equal to the 3 by 3 matrix, row 1, column 1, 9 column 2, negative 3 column 3, 2 row 2, column 1, 8 column 2, negative 1 column 3, 0 row 3, column 1, 11 column 2, 15 column 3, 3
Subtract the given matrix from the matrix on the right to find the entries of D. In row 2, the entries are d₂₁ = 8 − (−3) = 11, d₂₂ = −1 − 9 = −10, and d₂₃ = 0 − (−7) = 7. Their sum is 11 + (−10) + 7 = 8, so the answer is 8.
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