If A= [ cc 4 & 2 -1 & 1 ], then (A-2 l)(A-3 l) is equal to - Vidyadip

MCQ

If $A=\left[\begin{array}{cc}4 & 2 \\ -1 & 1\end{array}\right]$, then $(A-2 l)(A-3 l)$ is equal to

A
A
B
I
C
5I
✓
O

✓

Answer

Correct option: D.

O

O

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Matrices→Matrices — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

If the system of equations $x +y + z = 6$ ; $x + 2y + 3z= 10$ ; $x + 2y + \lambda z = 0$ has a unique solution, then $\lambda $ is not equal to

Let $P(x)$ be a polynomial with real coefficients such that $P\left(\sin ^2 x\right)=P\left(\cos ^2 x\right)$ for all $x \in[0, \pi / 2)$. Consider the following statements:

$I.$ $P(x)$ is an even function.

$II.$ $P(x)$ can be expressed as a polynomial in $(2 x-1)^2$

$III.$ $P(x)$ is a polynomial of even degree.

Then,

The d.rs of the lines x = ay + b, z = cy + d are:

1, a, c
a, 1, c
b, 1, c
c, a, 1

Region represented by $x \geq 0, y \geq 0$ is

$\int_{}^{} {\frac{1}{{{x^3}}}{{[\log {x^x}]}^2}\;dx = } $

Two fair dice, each with faces numbered $1,2,3,4,5$ and $6$ , are rolled together and the sum of the numbers on the faces is observed. This process is repeated till the sum is either a prime number or a perfect square. Suppose the sum turns out to be a perfect square before it turns out to be a prime number. If $p$ is the probability that this perfect square is an odd number, then the value of $14 p$ is. . . . .

Solution of the differential equation $\frac{\text{dy}}{\text{dx}}+\frac{\text{y}}{\text{x}}=\sin\text{x}$ is:

$\text{x}(\text{y}+\cos\text{x})=\sin\text{x}+\text{C}$
$\text{x}(\text{y}-\cos\text{x})=\sin\text{x}+\text{C}$
$\text{x}(\text{y}+\cos\text{x})=\cos\text{x}+\text{C}$
None of these.

Let $\vec{a}, \vec{b}$ and $\vec{c}$ be three vectors such that $|\vec{a}|=\sqrt{3}$ $|\overrightarrow{\mathrm{b}}|=5, \overrightarrow{\mathrm{b}} \cdot \overrightarrow{\mathrm{c}}=10$ and the angle between $\overrightarrow{\mathrm{b}}$ and $\overrightarrow{\mathrm{c}}$ is $\frac{\pi}{3} .$ If $\vec{a}$ is perpendicular to the vector $\overrightarrow{\mathrm{b}} \times \overrightarrow{\mathrm{c}}$ then $|\overrightarrow{\mathrm{a}} \times(\overrightarrow{\mathrm{b}} \times \overrightarrow{\mathrm{c}})|$ is equal to

If a line makes an angle $\theta_1, \theta_2, \theta_3$ with the axes respectively, then the value of $\cos 2 \theta_1+\cos 2 \theta_2$ $+\cos 2 \theta_3$ is

If $\cos^{-1}\frac{\text{x}}{2}+\cos^{-1}\frac{\text{y}}{2}=\theta,$ then $\Rightarrow9\text{x}^2-12\text{xy}\cos\theta+4\text{y}^2$ is equal to:

$36$
$-36\sin^2\theta$
$36\sin^2\theta$
$-36\cos^2\theta$