Matrices and Determinants: JEE Main 2026 Mathematics question

JEE Main 2026 · 4 Apr, Morning shift · Q5

JEE Main 20264 Apr, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002

Let

S=\left\{A=\begin{bmatrix} a & b\\ c & d\end{bmatrix}: a,b,c,d\in\{0,1,2,3,4\} \text{ and } A^2-4A+3I=0\right\}

be a set of

2\times2

matrices. Then the number of matrices in

S

, for which the sum of the diagonal elements is equal to 4, is:

JEE Main 2026 · 4 Apr, Morning shift · Q5

JEE Main 20264 Apr, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002

Let

S=\left\{A=\begin{bmatrix} a & b\\ c & d\end{bmatrix}: a,b,c,d\in\{0,1,2,3,4\} \text{ and } A^2-4A+3I=0\right\}

be a set of

2\times2

matrices. Then the number of matrices in

S

, for which the sum of the diagonal elements is equal to 4, is:

More on Matrices and Determinants