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Matrics Assisment
Q.2) If A = [11 2 ; 8 5] and b = [12 2 ; 3 1] then find B - A​


Matrics AssismentQ2 If A 11 2 8 5 And B 12 2 3 1 Then Find B A class=

Sagot :

Answer:

[10;-5-4]is the answer.

Step-by-step explanation:

I think the ans will =[10;-5-4]

I hope it will help u.

View image Аноним

Answer:

[tex]\textsf{\large{\underline{Solution 2}:}}[/tex]

Here:

[tex]\rm:\longmapsto A =\begin{bmatrix} 11&8\\ 2&5\end{bmatrix}[/tex]

[tex]\rm:\longmapsto B=\begin{bmatrix} 12&3\\ 2&1\end{bmatrix}[/tex]

Therefore, the matrix B - A will be:

[tex]\rm=\begin{bmatrix} 12&3\\ 2&1\end{bmatrix} - \begin{bmatrix} 11&8 \\ 2&5\end{bmatrix}[/tex]

[tex]\rm=\begin{bmatrix} 1& - 5\\ 0& - 4\end{bmatrix}[/tex]

[tex]\rm:\longmapsto B -A =\begin{bmatrix} 1& - 5\\ 0& - 4\end{bmatrix}[/tex]

[tex]\textsf{\large{\underline{Learn More}:}}[/tex]

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:

[tex]\rm:\longmapsto A=\begin{bmatrix}\rm 1&\rm 2&\rm 3\end{bmatrix}[/tex]

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

[tex]\rm:\longmapsto A=\begin{bmatrix}\rm1\\ \rm2\\ \rm3\end{bmatrix}[/tex]

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

[tex]\rm:\longmapsto A=\begin{bmatrix}\rm 1&\rm 2\\ \rm 3&\rm 4\end{bmatrix}[/tex]

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

[tex]\rm:\longmapsto A=\begin{bmatrix}\rm 0&\rm 0\\ \rm 0&\rm 0\end{bmatrix}[/tex]

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:

[tex]\rm:\longmapsto A=\begin{bmatrix}\rm 1&\rm 0\\ \rm 0&\rm 1\end{bmatrix}[/tex]