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 $y$.
If $A ^2=3 I$, where $I$ is the identity matrix of order 2 , find $x$ and $y$.
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| January | |||||
| Mon | 6 | 13 | 20 | 27 | |
| Tue | 7 | 14 | 21 | 28 | |
| Wed | 1 | 8 | 15 | 22 | 29 |
| Thurs | 2 | 9 | 16 | 23 | 30 |
| Fri | 3 | 10 | 17 | 24 | 31 |
| sat | 4 | 11 | 18 | 25 | |
| Sun | 5 | 12 | 19 | 26 | |
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

| 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 |