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AP EAMCET · Maths · Matrices

The values of t such that the matrix 13225t47-t-6 has no inverse, are

  1. A 3,2
  2. B 3,-2
  3. C -3,2
  4. D -3,-2
Verified Solution

Answer & Solution

Correct Answer

(C) -3,2

Step-by-step Solution

Detailed explanation

Inverse of a matrix does not exist when the determinant of the matrix is zero. 13225t47-t-6=0 ⇒1-30-7t+t2-3-12-4t+214-2t-20=0 ⇒-30-7t+t2+36+12t-12-4t=0 ⇒t2+t-6=0 ⇒t2+3t-2t-6=0 ⇒t+3t-2=0 ⇒t=-3 and 2.