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Questions › CUET-PG › CUET-PG 2026 › Q40
4 marks, −1Mathematics › Matrices, determinants and linear systems › Solving linear systemsModerateabout 1 min

CUET-PG 2026 Question 40: Matrices, determinants and linear systems

Arrange the following in correct order to solve a linear system AX = T using matrix inversion.

A. Verify that determinant of A is non-zero

B. Compute the adjoint

C. Compute A−1A^{-1}A−1

D. Multiply A−1TA^{-1}TA−1T to get X

E. Set up the co-efficient Matrix A and constant Matrix T.

Choose the correct answer from the options given below:

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Answer and worked solution

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Plain-text version

Arrange the following in correct order to solve a linear system AX = T using matrix inversion. A. Verify that determinant of A is non-zero B. Compute the adjoint C. Compute A⁻¹ D. Multiply A⁻¹T to get X E. Set up the co-efficient Matrix A and constant Matrix T. Choose the correct answer from the options given below: (A) E, A, B, C, D (B) A, B, C, D, E (C) E, B, A, D, C (D) E, A, B, D, C

Also written as: Arrange the following in correct order to solve a linear system AX = T using matrix inversion. A. Verify that determinant of A is non-zero B. Compute the adjoint C. Compute A^(-1) D. Multiply A^(-1)T to get X E. Set up the co-efficient Matrix A and constant Matrix T. Choose the correct answer from the options given below:

Matrices, determinants and linear systems has come up 102 times in 7 exams since 2006.

What this question tests

This question is on Solving linear systems, part of Matrices, determinants and linear systems in Mathematics.

Finding solutions of simultaneous linear equations by inversion, determinants or elimination.

TestStop has 8 past-paper questions on this subtopic; the nearest in year are below.

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Question from the CUET-PG 2026 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.