Question
Evaluate $\begin{bmatrix}5&-4\\1&\sqrt{3}\end{bmatrix}$
  1. $4\sqrt{3}+4$
  2. $4\sqrt{3}+5$
  3. $5\sqrt{3}+4$
  4. $4\sqrt{3}-4$

Answer

  1. $5\sqrt{3}+4$
Solution:
Evaluating along  $\text{R}_1$,we get
$\triangle5(\sqrt3)-(-4)^1=5\sqrt{3}+4$

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

Similar questions

Choose the correct answer from the given four options:
The area of the region bounded by the curve $\text{y}=\sin\text{x}$ between the ordinates x = 0, $\text{x}=\frac{\pi}{2}$ and the x-axis is:
  1. $2\text{ sq. units}$
  2. $4\text{ sq. units}$
  3. $3\text{ sq. units}$
  4. $1\text{ sq. units}$
In an LPP, if the objective function Z = ax + by has the same maximum value on two corner points of the feasible region, then the number of points of which Zmax occurs is:
  1. 0
  2. 2
  3. Finite
  4. Infinite
The probability distribution of a discrete random variable $X$ is given below :
$X$2345
$P(X)$$\frac{5}{k}$$\frac{7}{k}$$\frac{9}{k}$$\frac{11}{k}$
The value of $k$ is
The area of the region bounded by the parabola $y=\sin ^2 x$, lines $x=\frac{\pi}{2}, x=\pi$ and $x$-axis is :
The function$\text{f(x)}=1+|\cos\text{x}|$ is:
  1. Continuous no where.
  2. Continuous everywhere.
  3. Not differentiable at x = 0
  4. Not differentiable at $\text{x}=\text{n}\pi,\text{n}\in\text{Z}.$
The function $f(x) =x^3-3 x^2+12 x-18$ is :
If $(2 \hat{i}+6 \hat{j}+27 \hat{k}) \times(\hat{i}+p \hat{j}+q \hat{k})=\overrightarrow{0}$, then which of the following is true?
Assume that in a family, each chold is equally likely to be a boy or a girl. A family with tree cgildren is chosen at random. Tere probability that the eldest child is a girl given that the family has at least oe girl.
Choose the correct answer from the given four options.
Let F = 3x - 4y be the objective function. Maximum value of F is:
  1. 0.
  2. 8.
  3. 12.
  4. -18.