ACT Math · Matrices and vectors
What is bmatrix 7 & 2 \\ 5 & 9 bmatrix - bmatrix 3 & 4 \\ 1 & 6 bmatrix?
What is ?
Answer and explanation
Answer: F: bmatrix 4 & -2 \\ 4 & 3 bmatrix
Subtract corresponding entries: , , , and , giving , choice F. Choice G has in place of , which comes from computing rather than in the top-right position. Choice H adds the matrices instead of subtracting them. Choice J is , with every sign reversed, so the order of subtraction is wrong. Matrix subtraction is not commutative, so the first matrix always comes first and the second is subtracted from it.
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