RevisionDojo

Question 1

Calculate the product of the matrices

A = \begin{pmatrix}2 & 1 & -3\\0 & 4 & 2\\-1 & 5 & 1\end{pmatrix},\quad B = \begin{pmatrix}3\\-2\\4\end{pmatrix}.

[2]

Question 2

Calculate the product of the matrices

A = \begin{pmatrix}-2 & 4 & 1\\3 & -1 & 0\\2 & 2 & -3\end{pmatrix},\quad B = \begin{pmatrix}1 & 3 & -2\\0 & -1 & 4\\5 & 2 & 1\end{pmatrix}.

[3]

Question 3

Calculate the product $AB$ of the matrices

A = \begin{pmatrix}2 & -1\\3 & 4\end{pmatrix},\quad B = \begin{pmatrix}5 & 2\\-3 & 1\end{pmatrix}.

[2]

Question 4

Long Answer

Calculate the product of the matrices $A = \begin{pmatrix}1\\-2\\3\end{pmatrix},\quad B = \begin{pmatrix}2 & 0 & 5 & -1\end{pmatrix}.$

[2]

Question 5

Calculate the product of the matrices

A = \begin{pmatrix}1 & 2\\3 & 4\end{pmatrix},\quad B = \begin{pmatrix}0 & 5 & 1\\-2 & 3 & 4\end{pmatrix}.

[2]

Question 6

Calculate the product of the matrices $A = \begin{pmatrix}1 & 2 & 3\\-1 & 0 & 4\\2 & -2 & 1\\5 & 1 & -3\end{pmatrix},\quad B = \begin{pmatrix}0 & 3\\1 & -1\\2 & 2\end{pmatrix}.$

[3]

Question 7

Calculate the product of the matrices $A = \begin{pmatrix}2 & -3 & 1\end{pmatrix},\quad B = \begin{pmatrix}4 & 0\\-1 & 5\\3 & 2\end{pmatrix}.$

[2]

Question 8

Calculate the product $AB$ of the matrices:

A = \begin{pmatrix}2 & -1 & 3 & 0\\1 & 4 & -2 & 5\end{pmatrix},\quad B = \begin{pmatrix}1 & 2\\-1 & 0\\3 & -2\\2 & 1\end{pmatrix}

[2]

Question 9

Calculate the product of the matrices

A = \begin{pmatrix}3 & -1 & 2\\0 & 4 & 5\end{pmatrix},\quad B = \begin{pmatrix}2 & 3\\-1 & 1\\4 & 0\end{pmatrix}.

[2]

Question 10

Calculate the product of the matrices

A = \begin{pmatrix}1 & 2\\3 & 0\\-1 & 4\\2 & -3\end{pmatrix},\quad B = \begin{pmatrix}5 & -1 & 2 & 0\\1 & 3 & -2 & 4\end{pmatrix}.

[3]

Question 11

Calculate the product of the matrices $A = \begin{pmatrix}4 & 4 & 1\\2 & 9 & 3\end{pmatrix},\quad B = \begin{pmatrix}4\\7\\2\end{pmatrix}.$

[2]

Question 12

Calculate the product of the matrices

A = \begin{pmatrix}1 & 0 & 2\\-1 & 3 & 1\\4 & 2 & -2\end{pmatrix},\quad B = \begin{pmatrix}2 & 1 & 0\\-1 & 3 & 5\\4 & -2 & 1\end{pmatrix}.

[3]

Question Type 3: Finding the products of matrices Exercises