PYQ Vault
EbooksTutor

Technique

Solving AX = B

AX=B  ⇒  X=A−1B(∣A∣≠0)AX = B \;\Rightarrow\; X = A^{-1}B \quad (|A| \neq 0)
XX
the column of unknowns
BB
the column of constants

A linear system written in matrix form is solved by multiplying on the left by the inverse of the coefficient matrix.

15
questions use it
11
of them past-year
2017–2026
years it has appeared
0%
rated HARD
3
exams
Matrices & Determinants notesOpen all 15 in the paper builder

Used alongside

How often each of these appears in the same solution as this one.

15 questions whose solution uses this

Every one was read individually — a question is here because its solution invokes this, not because the stem mentions it.

Filter

Filter by exam
Filter by past-year or practice

Showing 15 of 15 questions — easiest first, then oldest paper first.

  • #1CBSE Class 12 → Mathematics → Matrices → Multiplication of Matrices

  • #2NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #3NDA → Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space

  • #4NDA → Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space

  • #5NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #6NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #7NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #8MHT-CET → Maths → Determinants and Matrices → Systems of Linear Equations and Symmetric, Skew-Symmetric Matrices

  • #9MHT-CET → Maths → Determinants and Matrices → Systems of Linear Equations and Symmetric, Skew-Symmetric Matrices

  • #10MHT-CET → Maths → Determinants and Matrices → Systems of Linear Equations and Symmetric, Skew-Symmetric Matrices

  • #11NDA → Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space

  • #12MHT-CET → Maths → Determinants and Matrices → Systems of Linear Equations and Symmetric, Skew-Symmetric Matrices

  • #13CBSE Class 12 → Mathematics → Determinants → Solving System of Linear Equations

  • #14MHT-CET → Maths → Determinants and Matrices → Systems of Linear Equations and Symmetric, Skew-Symmetric Matrices

  • #15NDA → Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space

Every identity this chapter tests, with its own question set.

All Matrices & Determinants formulas