Question

Matrics Assisment
Q.4) If A = [1 5 ; 4 6] and B = [8 2 ; 0 4] then find BA.​

Answer 1

ans=[822;3232]

Explanation:

I think the ans will be =[822;3232]

I hope it will help u.

Answer 2

`\textsf{\large{\underline{Solution 4}:}}`

Here:

`\rm:\longmapsto A =\begin{bmatrix} 1&4\\ 5&6\end{bmatrix}`

`\rm:\longmapsto B=\begin{bmatrix} 8&0\\ 2&4\end{bmatrix}`

Therefore, the matrix BA will be:

`\rm=\begin{bmatrix} 8&0\\ 2&4\end{bmatrix}\begin{bmatrix} 1&4 \\ 5&6\end{bmatrix}`

`\rm=\begin{bmatrix} 8 + 0&32 + 0\\ 2 + 20&8 + 24\end{bmatrix}`

`\rm=\begin{bmatrix} 8 &32\\ 22&32\end{bmatrix}`

Therefore:

`\rm: \longmapsto BA = \begin{bmatrix} 8 &32\\ 22&32\end{bmatrix}`

`\textsf{\large{\underline{Learn More}:}}`

Matrix: A matrix is a rectangular arrangement of numbers in the form of horizontal and vertical lines.

Horizontal lines are called rows and vertical lines are called columns.

Order of Matrix: A matrix containing x rows and y column has order x × y and it has xy elements.

Different types of matrices:

Row Matrix: This type of matrices have only 1 row. Example:

`\rm:\longmapsto A=\begin{bmatrix}\rm 1&\rm 2&\rm 3\end{bmatrix}`

Column Matrix: This type of matrices have only 1 column. Example:

`\rm:\longmapsto A=\begin{bmatrix}\rm1\\ \rm2\\ \rm3\end{bmatrix}`

Square Matrix: In this type of matrix, number of rows and columns are equal. Example:

`\rm:\longmapsto A=\begin{bmatrix}\rm 1&\rm 2\\ \rm 3&\rm 4\end{bmatrix}`

Zero Matrix: It is a matrix with all elements present is zero. Example:

`\rm:\longmapsto A=\begin{bmatrix}\rm 0&\rm 0\\ \rm 0&\rm 0\end{bmatrix}`

Identity Matrix: In this type of matrix, diagonal element is 1 and remaining elements are zero. An Identity matrix is always a square matrix. Example:

`\rm:\longmapsto A=\begin{bmatrix}\rm 1&\rm 0\\ \rm 0&\rm 1\end{bmatrix}`