Question

Make a Matlab script to make row 2 of matrix A equal to first row of A multiplied by the negative of the first element of row 2 plus the original row 2.

A= [2 -1 10]
[-3 8 4]

Answer 1

`X=\begin{Bmatrix}2& 1 &10 \\-3 & 5 & 4\end{Bmatrix}`

Explanation:

From the question we are told that

Matrix is given as
`A=\begin{Bmatrix}2 & -1 & 10\\-3 & 8 & 4\end{Bmatrix}`

Generally let the change in matrix be given as X

`X_1_2 = 2*(-(-1)) + - 1 = 1X_2_2 = -3 * (-(-1))+ 8 = 5`

Matlab output

`A=[2 -1 10;-3 8 4]\\a=(A(1,1)*-A(1,2))+A(1,2)\\b=(A(2,1)*-A(1,2))+A(2,2)\\X=[A(1,1) a A(1,3); A(2,1) b A(2,3)]\\`

Generally the matrix that makes row 2 of matrix A equal to first row of A multiplied by the negative of the first element of row 2 plus the original row is

`X=\begin{Bmatrix}2& 1 &10 \\-3 & 5 & 4\end{Bmatrix}`