Question 6 • Advanced Algebra: Concepts and Connections
For two matrices to be inverses, their product must be the identity matrix. Multiplying the first matrix by the second, the top-right entry is (−4)(3) + 6t = −12 + 6t, which must equal 0. Solving gives t = 2; the bottom-right entry also becomes 9 − 4(2) = 1, as required. So the correct choice is A, 2.
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