Let A be a non-singular square matrix of order 3 3. Then, |adj ;A| is equal to (A) |A| (B) |A | 2 (C) |A | 3 (D) 3|A|

Opton b is corect For any n × n matrix A, (adj ;A) = |A | n - 1 (It holds for singular and non-singular matrices.)

Determinants — Class 12 Maths Solution

ncert exercise SA NCERT,Ex.4.5,Q.17,Page.132

Question

Let A be a non-singular square matrix of order 3$\times$ 3. Then, $|adj\;A|$ is equal to

(A) $|A|$

(B)$|A{|^2}$

(D) $3|A|$

Step-by-step Solution

Opton b is corect

For any n × n matrix A, $\det (adj\;A) = |A{|^{n - 1}}$

(It holds for singular and non-singular matrices.)

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Determinants. Curated by Sachin Sharma. Free for all students.