New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Matrices and Determinants question

2024 · 4 Apr · Shift 1 · Q55

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Matrices and Determinants
2024 · 4 Apr · Shift 1 · Q55

Matrices and Determinants question

2024 · 4 Apr · Shift 1 · Q55

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1

Let

A

be a

3 \times 3

matrix of non-negative real elements such that

A\left[\begin{array}{l}1 \\ 1 \\ 1\end{array}\right]=3\left[\begin{array}{l}1 \\ 1 \\ 1\end{array}\right]

. Then the maximum value of

\operatorname{det}(\mathrm{A})

is

\underline{\hspace{2cm}}

.

Numerical answer

More from Matrices and Determinants

Let $A = [1021]$ and $B = I + adj (A) + (adj A)^{2} + \dots + (adj A)^{10}$ . Then, the sum of all the elements of the matrix $B$ is:2024 · MCQ
Let $A$ be a $2 \times 2$ symmetric matrix such that $A [11] = [37]$ and the determinant of $A$ be 1 . If $A^{- 1} = α A + β I$ , where $I$ is an…2024 · Numerical
Let A and B be two square matrices of order 3 such that $∣A∣ = 3$ and $∣B∣ = 2$ . Then $∣ A^{T} A (adj (2 A))^{- 1} (adj (4 B)) (adj (AB))^{- 1} AA^{T} ∣$ …2024 · MCQ
If the system of equations $11 x + y + λ z = - 5 2 x + 3 y + 5 z = 3 8 x - 19 y - 39 z = μ$ has infinitely many solutions, then $λ^{4} - μ$ is equal to :2024 · MCQ
The values of $m, n$ , for which the system of equations $x + y + z = 4, 2 x + 5 y + 5 z = 17, x + 2 y + m z = n$ has infinitely many solutions, satisfy the equation :2024 · MCQ
Let $α β e q 0$ and $A = β α - β α α α 3 β 2 α$ . If $B = 3 α - α - 2 α - 9 75 3 α - 2 α - 2 β$ …2024 · MCQ
For $α, β \in R$ and a natural number $n$ , let $A_{r} = r 2 r 3 r - 2 123 \frac{n ^{2}}{2} + α n^{2} - β \frac{n ( 3 n - 1 )}{2}$ . Then $2 A_{10} - A_{8}$ …2024 · MCQ
Let $α β γ = 45; α, β, γ \in R$ . If $x (α, 1, 2) + y (1, β, 2) + z (2, 3, γ) = (0, 0, 0)$ for some $x, y, z \in R, x y z e q 0$ , then $6 α + 4 β + γ$ is equal to …2024 · Numerical