JEE Main · Mathematics

Matrices and determinants

34 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 34 questions

What is the value of the determinant $6 - 4 8 - 1$ ?
What is the value of the determinant $96 - 1 4$ ?
What is the value of the determinant $75 - 2 2$ ?
What is the value of the determinant $66 - 1 9$ ?
What is the value of the determinant $86 7 - 3$ ?
What is the value of the determinant $9 - 4 86$ ?
What is the value of the determinant $2 - 3 1 - 2$ ?
What is the value of the determinant $7180$ ?
What is the value of the determinant $9 - 3 41$ ?
What is the value of the determinant $- 4 6 28$ ?
What is the value of the determinant $40 - 4 8$ ?
What is the value of the determinant $4298$ ?
What is the value of the determinant $4025$ ?
What is the value of the determinant $- 2 - 5 7 - 2$ ?
What is the value of the determinant $60 - 5 6$ ?
What is the value of the determinant $9065$ ?
What is the value of the determinant $5 - 4 6 - 5$ ?
What is the value of the determinant $7295$ ?
What is the value of the determinant $9 - 1 42$ ?
What is the value of the determinant $7498$ ?
What is the value of the determinant $27 4 - 3$ ?
What is the value of the determinant $- 1 7 39$ ?
What is the value of the determinant $5 - 3 - 3 2$ ?
What is the value of the determinant $- 1 - 1 84$ ?
What is the value of the determinant $6889$ ?
What is the value of the determinant $4 - 2 91$ ?
What is the value of the determinant $1941$ ?
What is the value of the determinant $85 5 - 1$ ?
What is the value of the determinant $- 5 0 02$ ?
What is the value of the determinant $- 3 - 2 - 3 - 2$ ?
Let $A = (32 - 2 - 1)$ . What is the sum of the entries in the first column of $A^{25}$ ?
$A$ is a $3 \times 3$ matrix with $det A = - 3$ . What is $det (adj (2 A) \cdot A^{- 1})$ ?
A $2 \times 2$ real matrix $A$ has $tr A = 5$ and $tr (A^{2}) = 13$ . What is $tr (A^{3})$ ?
$A$ is a $2 \times 2$ real matrix with $A^{2} - 5 A + 6 I = O$ , and $A$ is neither $2 I$ nor $3 I$ . The value of $det (A + 4 I)$ is

Matrices and determinants

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