If A = α − 1 0 0 , B = α + 1 0 0 be two matrices, then A B T is a non-zero matrix for ∣ α ∣ not equal to

Question

If A = ​ α − 1 0 0 ​ ​ , B = ​ α + 1 0 0 ​ ​ be two matrices, then A B T is a non-zero matrix for ∣ α ∣ not equal to

TestHub · Accepted Answer

Let A = ​ α − 1 0 0 ​ ​ , B = ​ α + 1 0 0 ​ ​ be two matrices. ​ A B T = ​ α − 1 0 0 ​ ​ ( α + 1 0 0 ) = ​ α 2 − 1 0 0 ​ 0 0 0 ​ 0 0 0 ​ ​ ​

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