Question

The matrix product |1 -2 3| x 4 5 2] X
2
-3 5| equals​

Answer 1

Answer:

1+2+3+4 = 10 is the answer

Answer 2

Answer:

The product of the matrices is $\left[\begin{array}{ccc}23\\3\\\end{array}\right]$

Step-by-step explanation:

The matrices are $\left[\begin{array}{ccc}1&-2&3\\4&5&2\\\end{array}\right]$ and $\left[\begin{array}{ccc}2\\-3\\5\end{array}\right]$.

 $Let, A = \left[\begin{array}{ccc}1&-2&3\\4&5&2\\\end{array}\right]$  $and, B =\left[\begin{array}{ccc}2\\-3\\5\end{array}\right]$

Matrix A has 2 rows and 3 columns whereas matrix B has 3 rows and  1 column. Thus, the resulting matrix will contain 2 rows and 1 column.

Generally, the product of two matrices is given by multiplying the first row of the matrix A with the first column of B and adding the total products.

It is followed by multiplying the second row of matrix A with the first column of B and adding the products. This gives the product of the matrix AB.

AB = $\left[\begin{array}{ccc}(1*2)+(-2*-3)+(3*5)\\(4*2)+(5*-3)+(2*5)\\\end{array}\right]$                                                    

AB = $\left[\begin{array}{ccc}2+6+15\\8+(-15)+10\\\end{array}\right]$

AB = $\left[\begin{array}{ccc}23\\3\\\end{array}\right]$

Therefore, the product of the matrix A and B is $\left[\begin{array}{ccc}23\\3\\\end{array}\right]$.  

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