1.

If A is a square matrix and |A| = 2, then write the value of |AA'|, where A' is the transpose of matrix A.

Answer»

|AA'| = |A|.|A'| = |A|.|A| = |A|2 = 22 = 4.

[Note : |AB| = |A|.|B| and |A| = |AT|, where A and B are square matrices.]



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