State True or False for the statements

(aA)-1 = (1/a) A-1, where a is any real number and A is a square matrix.


False

We know that if A is a non-singular square matrix, then for any scalar a, aA is invertible such that



i.e. , where a is any non-zero scalar.


In the above statement a is any real number So, we can conclude that above statement is false.


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