If A= [ ll 1 & 0 1 & 1 ], then A^2= - Vidyadip

MCQ

If $A=\left[\begin{array}{ll}1 & 0 \\ 1 & 1\end{array}\right]$, then $A^2=$

A
$\left[\begin{array}{ll}2 & 0 \\ 1 & 1\end{array}\right]$
B
$\left[\begin{array}{ll}1 & 0 \\ 1 & 2\end{array}\right]$
C
$\left[\begin{array}{ll}1 & 0 \\ 2 & 1\end{array}\right]$
✓
none of these

✓

Answer

Correct option: D.

none of these

Given
$
\begin{aligned}
& A=\left[\begin{array}{ll}
1 & 0 \\
1 & 1
\end{array}\right] \\
& A^2=A \times A=\left[\begin{array}{ll}
1 & 0 \\
1 & 1
\end{array}\right] \times\left[\begin{array}{ll}
1 & 0 \\
1 & 1
\end{array}\right] \\
& =\left[\begin{array}{ll}
1+0 & 0+0 \\
1+1 & 0+1
\end{array}\right] \\
& =\left[\begin{array}{ll}
1 & 0 \\
2 & 1
\end{array}\right] . \\
&
\end{aligned}
$

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 "MCQ" from Matrices→Matrices — all question types→Mathematics STD 10 question papers→ICSE Board STD 10 question papers→ICSE Board question paper generator→

Similar questions

When goods and services are sold for 5,000 under intra-state transaction from dealers A to B and the rate of GST is 18%, then the cost price, including tax, for the dealer B is:

If in an A.P. first term is 1 , last term is 20 and the sum of all terms is 399 , then the number of terms in the A.P. is:

The equation of the line whose inclination is $45^{\circ}$ and which intersects the $y$-axis at the point $(0,-4)$ is :

₹ 40 shares of a company are selling at 25% premium. If Mr. Jacob wants to buy 280 shares of the company, then the investment required by him is

In a cylinder, radius is doubled and height is halved, curved surface area will be:

If $x: y=2: 3$, then the value of $(7 x-4 y):(5 x+2 y)$ is:

The mean proportional between $\frac{1}{2}$ and 128 is

Given the quadratic equation $x^2+2 \sqrt{2} x+1=0$. The roots of the quadratic equation are :

The transpose of matrix $\left[\begin{array}{ccc}2 & -1 & 4 \\ 1 & 7 & 3 \\ -4 & 1 & 5\end{array}\right]$ is :

If $x\left[\begin{array}{r}-1 \\ 2\end{array}\right]+4\left[\begin{array}{r}2 \\ -y\end{array}\right]-\left[\begin{array}{r}7 \\ -8\end{array}\right]$, then the respective values of $x$ and $y$ are: