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Formula

Determinant of a 2×2 matrix

∣abcd∣=ad−bc\begin{vmatrix} a & b \\ c & d \end{vmatrix} = ad - bc
a,b,c,da,b,c,d
the four entries, read row-wise

The determinant of a two by two matrix is the product of the leading diagonal minus the product of the other diagonal.

63
questions use it
35
of them past-year
2017–2026
years it has appeared
16%
rated HARD
4
exams
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How often each of these appears in the same solution as this one.

63 questions whose solution uses this

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  • #1Maharashtra HSC Class 12 → Mathematics → Matrices → Inverse by Adjoint Method

  • #2NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse

  • #3NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse

  • #4NDA → Mathematics → Matrices & Determinants → Special Determinants — Trig, Complex, Roots of Unity, Polynomial

  • #5NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse

  • #6NDA → Mathematics → Matrices & Determinants → Special Determinants — Trig, Complex, Roots of Unity, Polynomial

  • #7NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums

  • #8NDA → Mathematics → Matrices & Determinants → Special Determinants — Trig, Complex, Roots of Unity, Polynomial

  • #9NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums

  • #10Maharashtra HSC Class 12 → Mathematics → Matrices → Inverse by Adjoint Method

  • #11NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums

  • #12MHT-CET → Maths → Determinants and Matrices → Inverse of a Matrix — Adjoint Formula, Products and Verification

  • #13MHT-CET → Maths → Determinants and Matrices → Inverse of a Matrix — Adjoint Formula, Products and Verification

  • #14MHT-CET → Maths → Determinants and Matrices → Inverse of a Matrix — Adjoint Formula, Products and Verification

  • #15CBSE Class 12 → Mathematics → Determinants → Determinant and its Properties

  • #16CBSE Class 12 → Mathematics → Determinants → Determinant and its Properties

  • #17NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums

  • #18CBSE Class 12 → Mathematics → Determinants → Determinant and its Properties

  • #19NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums

  • #20Maharashtra HSC Class 12 → Mathematics → Matrices → Minors, Cofactors and Adjoint

  • #21NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #22NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse

  • #23NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #24NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums

  • #25CBSE Class 12 → Mathematics → Determinants → Determinant and its Properties

  • #26Maharashtra HSC Class 12 → Mathematics → Matrices → Inverse by Adjoint Method

  • #27NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse

  • #28NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse

  • #29NDA → Mathematics → Matrices & Determinants → Special Determinants — Trig, Complex, Roots of Unity, Polynomial

  • #30NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #31NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums

  • #32Maharashtra HSC Class 12 → Mathematics → Matrices → Minors, Cofactors and Adjoint

  • #33NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums

  • #34NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #35NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations

  • #36NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums

  • #37NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse

  • #38MHT-CET → Maths → Determinants and Matrices → Inverse of a Matrix — Adjoint Formula, Products and Verification

  • #39NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums

  • #40CBSE Class 12 → Mathematics → Determinants → Determinant and its Properties

  • #41MHT-CET → Maths → Determinants and Matrices → Cayley–Hamilton, Matrix Polynomials and Powers

  • #42CBSE Class 12 → Mathematics → Determinants → Determinant and its Properties

  • #43MHT-CET → Maths → Determinants and Matrices → Cayley–Hamilton, Matrix Polynomials and Powers

  • #44CBSE Class 12 → Mathematics → Determinants → Determinant and its Properties

  • #45MHT-CET → Maths → Determinants and Matrices → Inverse of a Matrix — Adjoint Formula, Products and Verification

  • #46CBSE Class 12 → Mathematics → Determinants → Adjoint and Inverse of a Matrix

  • #47MHT-CET → Maths → Determinants and Matrices → Inverse of a Matrix — Adjoint Formula, Products and Verification

  • #48MHT-CET → Maths → Determinants and Matrices → Cayley–Hamilton, Matrix Polynomials and Powers

  • #49MHT-CET → Maths → Determinants and Matrices → Inverse of a Matrix — Adjoint Formula, Products and Verification

  • #50MHT-CET → Maths → Determinants and Matrices → Inverse of a Matrix — Adjoint Formula, Products and Verification

  • #51NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse

  • #52NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums

  • #53NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse

  • #54NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums

  • #55Maharashtra HSC Class 12 → Mathematics → Matrices → Inverse by Adjoint Method

  • #56NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse

  • #57NDA → Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space

  • #58NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums

  • #59NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums

  • #60MHT-CET → Maths → Determinants and Matrices → Cayley–Hamilton, Matrix Polynomials and Powers

  • #61MHT-CET → Maths → Determinants and Matrices → Inverse of a Matrix — Adjoint Formula, Products and Verification

  • #62MHT-CET → Maths → Determinants and Matrices → Inverse of a Matrix — Adjoint Formula, Products and Verification

  • #63NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums

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