The total number of 3 × 3 matrices| Matrices | JEE-MAIN 2021

Competishun Header

JEE-MAIN 2021

16-03-2021 S1

Question

The total number of 3 × 3 matrices A having enteries from the set (0, 1, 2, 3) such that the sum of all the diagonal entries of AAT is 9, is equal to _____.

Write Your Answer

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

Start Preparing for JEE with Competishun

Filters 0

Showing 18 questions

QJEE Main 20242024

Total number of stereo isomers possible for the given structure:

JEE MainChemistryEasy

View Solution→

QJEE Main 20242024

The correct stability order of the following resonance structures of $\mathrm{CH}_3-\mathrm{CH}=\mathrm{CH}-\mathrm{CHO}$ is

JEE MainChemistryEasy

View Solution→

QJEE Main 20242024

The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency '...

JEE MainChemistryEasy

View Solution→

QJEE Main 20242024

At room temperature $\left(27^{\circ} \mathrm{C}\right)$, the resistance of a heating element is $50 \Omega$. The temperature coefficient of the material...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

A force $\left(3 x^2+2 x-5\right) N$ displaces a body from $\mathrm{x}=2 \mathrm{~m}$ to $\mathrm{x}=4 \mathrm{~m}$. Work done by this force...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

Monochromatic light of wavelength 500 nm is used in Young's double slit experiment. An interference pattern is obtained on a...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

The resultant of two vectors $\overrightarrow{\mathrm{A}}$ and $\overrightarrow{\mathrm{B}}$ is perpendicular to $\overrightarrow{\mathrm{A}}$ and its magnitude is half that of $\vec{B}$....

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

To determine the resistance $(\mathrm{R})$ of a wire, a circuit is designed below, The V-I characteristic curve for this circuit...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

A capacitor of reactance $4 \sqrt{3} \Omega$ and a resistor of resistance $4 \Omega$ are connected in series with an...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

A particle of mass 0.50 kg executes simple harmonic motion under force $\mathrm{F}=-50\left(\mathrm{Nm}^{-1}\right) \mathrm{x}$. The time period of oscillation is...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

A straight magnetic strip has a magnetic moment of $44 \mathrm{Am}^2$. If the strip is bent in a semicircular shape,...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

A spherical ball of radius $1 \times 10^{-4} \mathrm{~m}$ and density $10^5 \mathrm{kg} / \mathrm{m}^3$ falls freely under gravity through...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

A real gas within a closed chamber at $27^{\circ} \mathrm{C}$ undergoes the cyclic process as shown in figure. The gas...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

The energy released in the fusion of 2 kg of hydrogen deep in the sun is $\mathrm{E}_{\mathrm{H}}$ and the energy...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

UV light of 4.13 eV is incident on a photosensitive metal surface having work function 3.13 eV. The maximum kinetic...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

A proton and a deutron ( $\mathrm{q}=+\mathrm{e}, m=2.0 \mathrm{u}$ ) having same kinetic energies enter a region of uniform magnetic...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

The effective resistance between A and B, if resistance of each resistor is R, will be

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

A satellite of $10^3 \mathrm{~kg}$ mass is revolving in circular orbit of radius 2 R . If $\frac{10^4 \mathrm{R}}{6} J$...

JEE MainPhysicsEasy

View Solution→