Evaluate: | ccc 2 & -5 & 7 5 & 2 & 1 9 & 0 & 2 | - Vidyadip

Question

Evaluate: $\left|\begin{array}{ccc}2 & -5 & 7 \\ 5 & 2 & 1 \\ 9 & 0 & 2\end{array}\right|$

✓

Answer

$\begin{aligned} & \left|\begin{array}{ccc}2 & -5 & 7 \\ 5 & 2 & 1 \\ 9 & 0 & 2\end{array}\right|=2\left|\begin{array}{cc}2 & 1 \\ 0 & 2\end{array}\right|-(-5)\left|\begin{array}{ll}5 & 1 \\ 9 & 2\end{array}\right|+7\left|\begin{array}{ll}5 & 2 \\ 9 & 0\end{array}\right| \\ & =2(4-0)+5(10-9)+7(0-18) \\ & =2(4)+5(1)+7(-18) \\ & =8+5-126 \\ & =-113\end{aligned}$

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 "Solve the following Question.(1 Marks)" from Determinants (p-1)→Determinants (p-1) — all question types→Maths (commerce) STD 11 Commerce / Arts question papers→Maharashtra Board STD 11 Commerce / Arts question papers→Maharashtra Board question paper generator→

Similar questions

A student finds 7 books of his interest but can borrow only three books. He wants to borrow the Chemistry part II book only if Chemistry Part I can also be borrowed. Find the number of ways he can choose three books that he wants to borrow.

Which term of the G. P. 5, 25, 125, 625, ….. is 510?

Examine the continuity of : $\mathrm{f}(\mathrm{x})=\frac{x^2-9}{x-3}$ on $\mathrm{R}$

Find the derivatives of the following functions w.r.t. x. : $
3^5
$

Find the following relations as sets of ordered pairs.{(x, y) / x + y = 3, x, y ∈ {0, 1, 2, 3}}

Find the number of permutations of letters in each of the following words: COMBINE

A fair die is thrown two times. Find the chance that: product of the numbers on the upper face is 12.

Find $x$, if $g(x)=0$ where : $g(x)=\frac{18-2 x^2}{7}$

Differentiate the following functions w.r.t.x. : $\mathrm{x} \sqrt{\mathrm{x}}$

What would be the simple interest on an amount of ₹ 9,600 at the rate of $6 \%$ per annum after 3 years?