Problem

Let A = col (u1, ..., un) (column vector) and B = (v1, ..., v„) (row vector); let n ≥ 2.a)...

Let A = col (u1, ..., un) (column vector) and B = (v1, ..., v„) (row vector); let n ≥ 2.

a) Show directly that the n × n matrix AB is singular (cf. the Remark at the end of Section 1.9).


b) Show that BA is 1 × 1–that is, a scalar.

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Solutions For Problems in Chapter 1.9