Question
Fill in the blank.
Matrix multiplication is _________ over addition.

Answer

Matrix multiplication is distributive over addition.Solution:
Matrix multiplication is distributive over addition. Consider, three matrices A, B and C then
  1. A(B + C) = AB + AC
  2. (A + B)C = AC + BC

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

Fill in the blank.
The set of values of $\sec^{-1}\Big(\frac{1}{2}\Big)$ is __________.
Fill in the blanks.
The value of the expression $|\vec{\text{a}}\times\vec{\text{b}}|^2+(\vec{\text{a}}\cdot\vec{\text{b}})^2$ is ________.
The order of the differential equation $x y \frac{d^2 y}{d x^2}+x\left(\frac{d y}{d x}\right)^2$ is ____________ .
The rate of change of the area of a circle with respect to its radius at $r=6 cm$ ________
Fill in the blank.The principal value of $\cos^{-1}\Big(-\frac{1}{2}\Big)$ is __________.
Fill in the blanks:
$\int\frac{\sin\text{x}}{3+4\cos^2\text{x}}\text{dx}=$ ________.
The number of arbitrary constants present in the general solution of any differential equation of order three will be ____________ .
A mirror in the shape of an ellipse represented by $\frac{\text{x}^2}{9}+-\frac{\text{y}^2}{4}=1$ was hanging on the wall. Arun and his sister were playing with ball inside the house, even their mother refused to do so. All of sudden, ball hit the mirror and got a scratch in the shape of line represented by $\frac{\text{x}}{3}+\frac{\text{y}}{2}=1$ Based on the above information, answer the following questions.
  1. Point(s) of intersection of ellipse and scratch (straight line) is (are).
  1. (0, 2), (3, 0)
  2. (2, 0), (3, 0)
  3. (2, 3), (0, 0)
  4. (0, 3), (3, 0)
  1. Area of smaller region bounded by the ellipse and line is represented by.
  1. The value of $\frac{2}{3}\int\limits_{0}^{3}\sqrt{9-\text{x}^2}\text{dx}$ is.
    1. $\frac{\pi}{2}$
    2. $\pi$
    3. $\frac{3\pi}{2}$
    4. $\frac{\pi}{4}$
  1. The value of  $2\int\limits_{0}^{3}\bigg(1-\frac{\text{x}}{3}\bigg)\text{dx}$ is.
    1. 0
    2. 1
    3. 2
    4. 3
  1. Area of the smaller region bounded by the mirror and scratch is.
  1. $3\Big(\frac{\pi}{2}+1\Big)\text{ sq.units}$
  2. $\Big(\frac{\pi}{2}+1\Big)\text{ sq.units}$
  3. $\Big(\frac{\pi}{2}-1\Big)\text{ sq.units}$
  4. $3\Big(\frac{\pi}{2}-1\Big)\text{ sq.units}$
If $f(x)=\left\{\begin{array}{c}\frac{x^3-a^3}{x-a}, x \neq a \\ b, x=a\end{array}\right.$, is continuous at $x=a$ then $b=$ _________ .
Fill in the blanks:
If A is a matrix of order 3 × 3, then number of minors in determinant of A are ________.