A matrix whose elements a_{ij} are defined by | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The matrix is a $3 	imes 3$ matrix given by $A = [a_{ij}]$.We calculate each element $a_{ij} = \frac{1}{3}|i - 5j|$:$a_{11} = \frac{1}{3}|1 - 5(1

Vedclass · Accepted Answer

$\left[\begin{array}{ccc}\frac{4}{3} & 3 & \frac{14}{3} \ 1 & \frac{8}{3} & \frac{13}{3} \ \frac{2}{3} & \frac{7}{3} & 4\end{array}ight]$

Vedclass · Answer

(B) The matrix is a $3 	imes 3$ matrix given by $A = [a_{ij}]$.We calculate each element $a_{ij} = \frac{1}{3}|i - 5j|$:$a_{11} = \frac{1}{3}|1 - 5(1)| = \frac{1}{3}|-4| = \frac{4}{3}$$a_{12} = \frac{1}{3}|1 - 5(2)| = \frac{1}{3}|-9| = 3$$a_{13} = \frac{1}{3}|1 - 5(3)| = \frac{1}{3}|-14| = \frac{14}{3}$$a_{21} = \frac{1}{3}|2 - 5(1)| = \frac{1}{3}|-3| = 1$$a_{22} = \frac{1}{3}|2 - 5(2)| = \frac{1}{3}|-8| = \frac{8}{3}$$a_{23} = \frac{1}{3}|2 - 5(3)| = \frac{1}{3}|-13| = \frac{13}{3}$$a_{31} = \frac{1}{3}|3 - 5(1)| = \frac{1}{3}|-2| = \frac{2}{3}$$a_{32} = \frac{1}{3}|3 - 5(2)| = \frac{1}{3}|-7| = \frac{7}{3}$$a_{33} = \frac{1}{3}|3 - 5(3)| = \frac{1}{3}|-12| = 4$Thus,the matrix is $\left[\begin{array}{ccc}\frac{4}{3} & 3 & \frac{14}{3} \ 1 & \frac{8}{3} & \frac{13}{3} \ \frac{2}{3} & \frac{7}{3} & 4\end{array}ight]$.

$A$ matrix whose elements $a_{ij}$ are defined by $a_{ij} = \frac{1}{3}|i - 5j|$,where $i, j = 1, 2, 3$,is:

Similar Questions

The sum of two lower triangular matrices is always

If matrix $A = \begin{bmatrix} 1 & 3k + \frac{1}{3} \\ 0 & 1 \end{bmatrix}$,then the value of $\prod_{k=1}^{36} \begin{bmatrix} 1 & 3k + \frac{1}{3} \\ 0 & 1 \end{bmatrix}$ is equal to :-

Let $T$ and $U$ be the set of all orthogonal matrices of order $3$ over $\mathbb{R}$ and the set of all non-singular matrices of order $3$ over $\mathbb{R}$ respectively. Let $A = \{-1, 0, 1\}$. Then:

If $A = \begin{bmatrix} i & 0 \\ 0 & i \end{bmatrix}$,then ${A^2} = $

Let $A = \begin{bmatrix} 1 & 0 & 0 \\ 1 & 1 & 0 \\ 1 & 1 & 1 \end{bmatrix}$ and $B = A^{20}$. Then the sum of the elements of the first column of $B$ is?

Vedclass Test Series

Exam Paper Generator

Online Exam Module