If A is singular matrix, then adj(A) is

Question

If A is singular matrix, then adj(A) is (a) Non-singular (b) singular (c) Symmetric (d) Not defined

Askiitians Tutor Team · Accepted Answer

If matrix A is singular, it means that its determinant is zero. The adjugate (or adjoint) of a matrix, denoted as adj(A), is calculated using the determinants of the minors of A. For a singular matrix, the adjugate will also be singular. Answer Explanation
To clarify further: Singular Matrix: A matrix with a determinant of zero. Adjugate Matrix: The transpose of the cofactor matrix, which is used in finding the inverse of a matrix. Determinant of Adjugate: If A is singular, then adj(A) is also singular. Final Answer
The correct choice is (b) singular.

12 grade maths others> If A is singular matrix, then adj(A) is...

If A is singular matrix, then adj(A) is

(a) Non-singular

(b) singular

(c) Symmetric

(d) Not defined

Aniket Singh , 7 Months ago

Askiitians Tutor Team

Answer Explanation

Final Answer

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Grade 12 > 12 grade maths others

12 grade maths others> If A is singular matrix, then adj(A) is...

If A is singular matrix, then adj(A) is (a) Non-singular (b) singular (c) Symmetric (d) Not defined

Aniket Singh , 7 Months ago

Askiitians Tutor Team

Answer Explanation

Final Answer

LIVE ONLINE CLASSES

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(a) Non-singular

(b) singular

(c) Symmetric

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Which of the following is a null set:

A {0}

B {x: x > 0 or x < 0}

C {x: x² = 4 or x = 3}

D {x: x² + 1 = 0, x ∈ R}