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Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): If A is a square matrix such that A^{2} = A, then (I + A)^{2} – 3A = I
Reason (R): AI = IA = A
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
A and B are two matrices such that both AB and BA are defined.
Assertion (A): (A + B)(A – B) = A^{2} – B2
Reason (R): (A + B)(A – B) = A^{2} – AB + BA – B^{2}
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): (A + B)^{2} ≠ A^{2} + 2AB + B^{2}.
Reason (R): Generally AB ≠ BA
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Let A and B be two symmetric matrices of order 3.
Assertion (A): A(BA) and (AB)A are symmetric matrices.
Reason (R): AB is symmetric matrix if matrix multiplication of A with B is commutative.
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): is a scalar matrix.
Reason (R): If all the elements of the principal diagonal are equal, it is called a scalar matrix.
204 videos288 docs139 tests

204 videos288 docs139 tests
