Question
Evaluate the following $: \left|\begin{array}{ll} \mid 3 & 2 \end{array}\right|\left|\begin{array}{c} -1 \\ 3 \end{array}\right| $

Answer

$\begin{array}{l}\left|\begin{array}{cc|c}\mid 3 & \left.2\right|_{1 \times 2} & -1 \\ 3\end{array}\right|_{2 \times 1} \end{array} $
$ =|3 \times-1+2 \times 3|  $
$ =|-3+6|  $
$ =|3|_{1 \times 1} $

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 sum : $243+324+432+\ldots$ up to $n$ terms.
if $\frac{x}{a} \cos \theta+\frac{y}{b} \sin \theta=1$ and $\frac{x}{a} \sin \theta-\frac{y}{b} \cos \theta=1$ prove that $\frac{x^2}{a^2}+\frac{y^2}{h^2}=2$
For each inequality, determine which of the given numbers are in the solution set:
2x + 3 >11; -3, 4, 5, 7
$O (0, 0), A (3, 5)$ and $B (−5, −3)$ are the vertices of triangle OAB. Find the equation of altitude of triangle OAB through vertex B.
When $x^3 + 3x^2 – mx + 4$ is divided by $x – 2,$ the remainder is $m + 3.$ Find the value of $m.$
If p, q and r in continued proportion, then prove the following:
$(p + q + r )(p - q + r) = p^2 + q^2 + r^2$
What sum of money will amount to $Rs.8,073$ in $2$ years at compound interest if the rates of interest for the successive years are $15\%$ and $17\%?$
The sum of the ages of Vivek and his younger brother Amit is $47$ years. The product of their ages in years is $550$. Find their ages.
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.
If $a: b=c: d$, then prove that $(a+b):(c+d)=\sqrt{a^2+b^2}: \sqrt{c^2+d^2}$.