Question

3. If A = diag(3, -1), then matrix A is
3
(d)
(b)
3
0
0
(c)
(d)
;
ܘ​

Answer 1

SOLUTION

GIVEN

A = diag(3, -1)

TO DETERMINE

The matrix A

CONCEPT TO BE IMPLEMENTED

Diagonal Matrix

A square matrix is said to be a diagonal matrix if the elements other than the diagonal elements are zero

The diagonal matrix

$\sf{(d_{ij})_{n,n }}$

$\sf{is \: denoted \: by \: \: diag(d_{11},d_{12}, ....,d_{nn})}$

EVALUATION

Here it is given that

A = diag(3, -1)

So A is a 2 × 2 matrix

We know that diagonal matrix is a matrix where all the elements other than the diagonal elements are zero

Hence the required matrix

$A= \displaystyle\begin{pmatrix} 3 & 0\\ 0 & - 1 \end{pmatrix}$

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