Question: Let Ipq denote the n n matrix with (p, q)-entry equal to 1 and all other entries 0. Show that: If A = [aij],

Let Ipq denote the n × n matrix with (p, q)-entry equal to 1 and all other entries 0. Show that:
If A = [aij], then Ipq AIrs = aqrIps all p, q, r, and s.

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