Q.
Let A be a 3×3 matrix with detA=4 . Let Ri denote the ith row of A. If a matrix B is obtained by performing the operation on 2A, then det (B) is equal toLet A be a matrix with . Let denote the ith row of A. If a matrix B is obtained by performing the operation R2→2R2+5R3 on 2A, then det (B) is equal to
see full answer
Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!
Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya
a
64
b
16
c
128
d
80
answer is A.
(Unlock A.I Detailed Solution for FREE)
Ready to Test Your Skills?
Check your Performance Today with our Free Mock Test used by Toppers!
Take Free Test
Detailed Solution
Given the matrix A is a square matrix of order 3 and having the determinant 4. Suppose that A=a1a2a3b1b2b3c1c2c3 and 2A=2a12a22a32b12b22b32c12c22c3 Perform the operation R2→2R2 +5R3 on the matrix 2AThe equivalent matrix is 2A=2a12a22a34b1+10c14b2+10c24b3+10c32c12c22c3 Hence, 2A=2a12a22a34b14b24b32c12c22c3+0 · Two rows are equal in the other matrix, so it is zero=242A=164=64Det (B) is 64.
Watch 3-min video & get full concept clarity