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 the matrix is singular, then λ = 4.
Reason (R): If A is a singular matrix, then A= 0.
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 be a 2 × 2 matrix.
Assertion (A): adj (adj A) = A
Reason (R): adj A=A
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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 every element of a third order determinant of value D is multiplied by 5, then the value of the new determinant is 125D.
Reason (R): If k is a scalar and A is an n × n matrix, then kA= k^{n} A
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 and A^{–1} = kA, then k = 1/9
Reason (R):
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 then
Reason (R): The inverse of an invertible diagonal matrix is a diagonal matrix.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Given
Assertion (A): 2A^{–1} = 9I – A
Reason (R):
204 videos288 docs139 tests

204 videos288 docs139 tests
