Problem

Given an n × n invertible matrix A and n × 1 column matrix b, we can solve the equation Ax...

Given an n × n invertible matrix A and n × 1 column matrix b, we can solve the equation Ax = b for the unknown vector x by multiplying both sides by A−1 and using various properties of matrix arithmetic to obtain x = A−1b. Find all 2 × 1 or 3 × 1 matrix solutions x to the following equations, where it is possible.

(a)


(b)


(c)


(d)


(e)


(f)

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Solutions For Problems in Chapter 2.2