Download App

STD 12 - 3 and 4 . determinant and metrices — Mathematics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceMathematicsSTD 12 - 3 and 4 . determinant and metrices1 Mark
MCQ
The cofactor of the element $'4'$ in the determinant $\left| {\,\begin{array}{*{20}{c}}1&3&5&1\\2&3&4&2\\8&0&1&1\\0&2&1&1\end{array}\,} \right|$ is
  • A
    $4$
  • ✓
    $10$
  • C
    $-10$
  • D
    $-4$
✓

Answer

Correct option: B.
$10$
b
(b) The cofactor of element $4$, in the $2^{nd}$ row and ${3^{rd}}$ column is
$ = {( - 1)^{2 + 3}}\left| {\begin{array}{*{20}{c}}1&3&1\\8&0&1\\0&2&1\end{array}} \right|$

$=-{1(-2) -3 (8 -0)+ 1.16}= 10.$

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 "M.C.Q (1 Marks)" from STD 12 - 3 and 4 . determinant and metrices→STD 12 - 3 and 4 . determinant and metrices — all question types→Mathematics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

The area bounded by the curves $y = \ln x$, $y = \ln |x|$, $y = \,|\ln x|$ and $y = \,|\ln |x||$ is ......... $sq. \,unit$
→
A homogeneous dofferential equation of the from $\frac{\text{dx}}{\text{dy}}=\text{h}(\frac{\text{x}}{\text{y}})$ can be solved by making the substitution :
→
If $x = \sqrt {{2^{\cos e{c^{ - 1}}t}}} $  and  $y = \sqrt {{2^{se{c^{ - 1}}t}}} (\left| t \right|\,\, \ge \,1\,),$  then $\frac{{dy}}{{dx}}$  is equal to.
→
Choose the correct answer from the given four options. The maximum number of equivalence relations on the set $A = \{1, 2, 3\}$ are:
→
If $I = \int\limits_0^{\frac{\pi }{2}} {\,\,\ell n\,(\sin \,x)} dx$ then $\int\limits_{\frac{{ - \pi }}{4}}^{\frac{\pi }{4}} {\,\,\ell n\,(\sin \,x\,\, + \,\,\cos \,x)} dx =$
→
Let $A = \left[ {\begin{array}{*{20}{c}}1&0&0\\5&2&0\\{ - 1}&6&1\end{array}} \right]$, then the adjoint of $ A $ is
→
Let $f : R \to R, f(x) = max.\{|tan^{-1}x|, cot^{-1}x\}.$ Consider the following statements :
$I.$ Function is continuous and derivable $\forall x \in R$
$II.$ Range of function is $\left[ {\frac{\pi }{4},\pi } \right]$
$III.$ $f(x)$ is many one-into. Identify the correct option -
→
Which of the following functions from $Z$ into $Z$ are bijective$?$
→
If $\text{f}(\text{x})=\Big(\frac{\text{x}^\text{l}}{\text{x}^\text{m}}\Big)^{\text{l}+\text{m}}\Big(\frac{\text{x}^\text{m}}{\text{x}^\text{n}}\Big)^{\text{m}+\text{n}}\Big(\frac{\text{x}^\text{n}}{\text{x}^\text{l}}\Big)^{\text{n}+1},$ the $f\ '(x)$ is equal to :
→
The value of $p$ for which $p(\hat{i}+\hat{j}+\hat{k})$ is a unit vector is
→