Question:medium

The matrix A²+4A-5I, where I is identity matrix and A=bmatrix1&2
4&-3bmatrix, equals:

Show Hint

Matrix identities simplify polynomial expressions.

Updated On: Mar 18, 2026

4bmatrix2&1
2&0bmatrix
4bmatrix0&-1
2&2bmatrix
32bmatrix2&1
2&0bmatrix
32bmatrix1&1
1&0bmatrix

Show Solution

The Correct Option is A

Solution and Explanation

Was this answer helpful?

0

Top Questions on types of matrices

If \( A = \begin{vmatrix} 1 & a & a^2 \\ 1 & b & b^2 \\ 1 & c & c^2 \\ \end{vmatrix} \), then the value of \( A \) is:
- BITSAT - 2025
- Mathematics
- types of matrices
View Solution
If R(t)= beginpmatrix cos t & sin t
-sin t & cos t endpmatrix, then R(s)R(t) equals
- BITSAT - 2021
- Mathematics
- types of matrices
View Solution
If
\[ A = \frac{1}{3} \begin{bmatrix} 1 & 2 & 2 \\ 2 & 1 & -2 \\ a & 2 & b \end{bmatrix} \] is an orthogonal matrix, then:
- BITSAT - 2018
- Mathematics
- types of matrices
View Solution
If
\[ R(t) = \begin{pmatrix} \cos t & \sin t \\ -\sin t & \cos t \end{pmatrix}, \]
then \(R(s)R(t)\) equals
- BITSAT - 2017
- Mathematics
- types of matrices
View Solution
Want to practice more? Try solving extra ecology questions todayView All Questions

Questions Asked in BITSAT exam

What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?

BITSAT - 2025
Vector Algebra

In a mixture of gases, the average number of degrees of freedom per molecule is 6. If the rms speed of the molecule is \(c\), what is the velocity of sound in the gas?

BITSAT - 2025
kinetic theory

A ball is thrown vertically upward with a speed of 49 m/s. How long will it take to return to the thrower’s hand?

BITSAT - 2025
Kinematics

Two identical bodies of mass 1 kg each are moving towards each other with velocities of 5 m/s and 3 m/s, respectively. They collide elastically. What will be the velocity of the body initially moving at 5 m/s after the collision?

BITSAT - 2025
Mechanics