Maximum value of a second order determinant whose every element i… - Vidyadip

Question

Maximum value of a second order determinant whose every element is either 0, 1 or 2 only is:

0
1
2
4

✓

Answer

4

Solution:
So, $\text{A}=\begin{bmatrix}\text{a}&\text{b}\\\text{c}&\text{d}\end{bmatrix}$
Given a, b, c & D can only be 0, 1, 2
det A = ad-bc
So for max. value of A,
a = 2 and d = 2 and b, c $\in$ 0, 0
So, Max value of det $\text{A}=\begin{bmatrix}2&0\\0&2\end{bmatrix}=4$

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 DETERMINANTS→DETERMINANTS — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

If A = {1, 2, 3}; B = {3, 4, 5}; C = {4, 6}, then $\text{A}\times(\text{B}\cap\text{C})=?$

{(2, 4)(1, 4)}
{(2, 4)(3, 4)(5, 6)}
{(1, 4)(2, 4)(3, 4)}
None of these

The maximum value of $Z=3 x+4 y$ subject to the constraints $x \geq 0, y \geq 0$ and $x+y \leq 1$ is

Evaluate: $\int_0^{\pi / 4} \tan ^3 x d x$

If $\text{f}(\text{x})=\text{e}^{\cos^{-1}\big\{\sin\big(\text{x}+\frac{\pi}{3}\big)\big\}}$ then $\text{f}\Big(\frac{8\pi}{9}\Big)=$

$\text{e}^{\frac{5\pi}{18}}$
$\text{e}^{\frac{13\pi}{18}}$
$\text{e}^{\frac{-2\pi}{18}}$
$\text{none of these}$

The value of f(0), so that the function $\text{f(x)}=\frac{\sqrt{\text{a}^2+\text{ax+x}^2}-\sqrt{\text{a}^2+\text{ax+x}^2}{}}{\sqrt{\text{a+x}}-\sqrt{\text{a-x}}}$ becomes continuous for all x, given by:

$\text{a}^{\frac{3}{2}}$
$\text{a}^{\frac{1}{2}}$
$-\text{a}^{\frac{1}{2}}$
$-\text{a}^{\frac{3}{2}}$

Choose the correct answer from the given four options.
If $\text{P}(\text{A})=\frac{4}{5},$ and $\text{P}(\text{A}\cap\text{B})=\frac{7}{10},$ then $\text{P}\Big(\frac{\text{B}}{\text{A}}\Big)$ is equal to:

$\frac{1}{10}$
$\frac{1}{8}$
$\frac{7}{8}$
$\frac{17}{20}$

If $A =\left[\begin{array}{ll}0 & 1 \\ 1 & 2\end{array}\right]$, then adj A will be :

Which of the following differential equations has $\text{y} = \text{c}_1\text{e}^\text{x} + \text{c}_2\text{e}^{-\text{x}}$ as the general solution?

$\frac{\text{d}^2\text{y}}{\text{dx}^2}+\text{y}=0$
$\frac{\text{d}^2\text{y}}{\text{dx}^2}-\text{y}=0$
$\frac{\text{d}^2\text{y}}{\text{dx}^2}+1=0$
$\frac{\text{d}^2\text{y}}{\text{dx}^2}-1=0$

$\int_{0}^{\frac{\pi^2}{4}}\frac{\sin\sqrt{\text{y}}}{\sqrt{\text{y}}}.$

$1$
$2$
$\frac{\pi}{4}$
$\frac{\pi^2}{8}$

The total number of outcomes when three dices are thrown simultaneously is -