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If a matrix has 36 elements, the number of possible orders it can have, is :
If A and B are two non-zero square matrices of same order such that (A + B)² = A² + B², then :
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 = [aᵢⱼ] be a 3 × 3 matrix, where aᵢⱼ = i – 3j, then which of the following is false ?
If F(x) = [cos x –sin x 0; sin x cos x 0; 0 0 1] and [F(x)]² = F(kx), then the value of k is :
Assertion (A) : Every scalar matrix is a diagonal matrix. Reason (R) : In a diagonal matrix, all the diagonal elements are 0.
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