If the sum of all the elements of a 3 × 3 scalar matrix is 9, then the product of all its elements is :
If [a c 0; b d 0; 0 0 5] is a scalar matrix, then the value of a + 2b + 3c + 4d is:
The product of matrix P and Q is equal to a diagonal matrix. If the order of matrix Q is 3 × 2, then order of matrix P is :
The number of all scalar matrices of order 3, with each entry – 1, 0 or 1, is :
Assertion (A): If A and B are two square matrices such that AB and BA are defined, then it is not necessary that AB = BA. Reason (R): Product of two diagonal matrices of same order is commutative.
A matrix B = [bij]m × m is said to be a diagonal matrix, if :
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