The matrix begin{bmatrix} 2 & 5 & -7 0 & 3 & | vedclass

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

Question

(C) square matrix $A = [a_{ij}]$ is called an upper triangular matrix if all elements below the main diagonal are zero,i.e.,$a_{ij} = 0$ for all $i >

Vedclass · Accepted Answer

Upper triangular matrix

Vedclass · Answer

(C) square matrix $A = [a_{ij}]$ is called an upper triangular matrix if all elements below the main diagonal are zero,i.e.,$a_{ij} = 0$ for all $i > j$. In the given matrix $\begin{bmatrix} 2 & 5 & -7 \ 0 & 3 & 11 \ 0 & 0 & 9 \end{bmatrix}$,the elements below the main diagonal are $a_{21} = 0$,$a_{31} = 0$,and $a_{32} = 0$. Since all elements below the main diagonal are zero,the matrix is an upper triangular matrix.

The matrix $\begin{bmatrix} 2 & 5 & -7 \\ 0 & 3 & 11 \\ 0 & 0 & 9 \end{bmatrix}$ is known as:

Similar Questions

For the matrix $A = \begin{bmatrix} 3 & 2 \\ 1 & 1 \end{bmatrix}$,find the values of $a$ and $b$ such that $A^{2} + aA + bI = 0$.

If $I$ is the identity matrix of order $2$ and $A = \begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix}$, then for $n \geq 1$, mathematical induction gives:

Let $M$ and $N$ be two matrices over $\mathbb{R}$ of order $2$. Then,$MN = NM$ if .......

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

If $A = \begin{bmatrix} 1 & a \\ 0 & 1 \end{bmatrix}$,then $A^4$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module