Question
Given $A =\left[\begin{array}{ll}x & 3 \\ y & 3\end{array}\right]$
If $A ^2=3 I$, where $I$ is the identity matrix of order 2 , find $x$ and $y$.

Answer

Self

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

Similar questions

Find the sub-duplicate ratio of the following
c
Ramesh chooses a date at random in january for a party.
January
Mon 6132027
Tue 7142128
Wed 18152229
Thurs 29162330
Fri 310172431
sat 4111825
Sun 5121926
Find the probability that the choose :
(1) a Wednesday
(2) a friday
(3) a tuesday or a saturday.

Consultancy services, worth Rs. 50,000, are transferred from Delhi to Calcutta at the rate of GST 18% and then from Calcutta to Nainital (with profit = Rs. 20,000) at the same rate of GST. Find the output tax at

  1. Delhi
  2. Calcutta
  3. Nainital
If A : B = 2 : 3, B : C = 4 : 5 and C : D = 6 : 7, find A : D
In given figure 1 ABCD is an arrowhead. AB = AD and BC = CD. Prove th at AC produced bisects BD at right angles at the point M
If $\left.A=\left[\begin{array}{ll}1 & 4 \\ 2 & 1\end{array}\right], B=\left[\begin{array}{cc}-3 & 2 \\ 4 & 0\end{array}\right]\right]$ and $C=\left[\begin{array}{ll}1 & 0 \\ 0 & 2\end{array}\right]$ Simplify $A^2+B C$
If $A=\left[\begin{array}{ll}1 & 2 \\ 2 & 1\end{array}\right]$ and $B=\left[\begin{array}{ll}2 & 1 \\ 1 & 2\end{array}\right]$ Find $(AB).B$
If $x=\frac{2}{3}$ is a solution of the quadratic equation $7 x^2+m x-3=0$;
Find the value of m.
Solve each of the following equations using the formula:
$x^2-6=2 \sqrt{2} x$
Mr. Dhoni has an account in the Union Bank of India. The following entries are from his passbook:
Date Particulars Withdrawals
(in ₹)
Deposits
(in ₹)
Balance
(in ₹)
Jan 3, 07 B/F - - 2,642·00
Jan 16 To self 640.00 - 2,002·00
March 5 By cash - 850·00 2,852·00
April 10 To self 1130.00 - 1,722·00
April 10 By cheque - 650·00 2372.00
June 15 By cash 577.00 - 1,795·00
Calculate the interest from January 2007 to June 2007 at a rate of 4% per annum.