Let A be an invertible n x n matrix, and let B be an n x p matrix. Explain why (A^-1)(B) can be computed by row reduction:

[A B] ~...~ [I X] X=(A^-1)(B)

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a trust fund has $30,000 that must be invested in two different types of bonds. the first bond pays 5% interest per year, & the second bond pays 7% interest per year. using matrix multiplication, determine how to divide $ 30,000 among the two types of bonds. if the trust fund must obtain an annual total interest of: (a) $ 1800?