Basic Matrix Operations | math4u.vsb.cz

Submitted by michaela.bailova on Fri, 12/13/2024 - 11:17

Project ID:

7200020190

Accepted:

SubArea:

Matrices and determinants

Type:

Layout:

Question:

Match each operation with matrices to its result.

Question 1:

(\begin{matrix} 0 & 1 \\ 1 & 0 \end{matrix}) \cdot (\begin{matrix} 2 & 3 \\ 4 & 5 \end{matrix})

Answer 1:

(\begin{matrix} 4 & 5 \\ 2 & 3 \end{matrix})

Question 2:

(\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}) + (\begin{matrix} 0 & 1 \\ 1 & 1 \end{matrix})

Answer 2:

(\begin{matrix} 1 & 3 \\ 4 & 5 \end{matrix})

Question 3:

{(\begin{matrix} 1 & 3 \\ 2 & 4 \end{matrix})}^{T}

Answer 3:

(\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix})

Question 4:

(\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}) \cdot (\begin{matrix} 2 & 3 \\ 4 & 5 \end{matrix})

Answer 4:

(\begin{matrix} 2 & 3 \\ 4 & 5 \end{matrix})

Question 5:

(\begin{matrix} 5 & 4 \\ 3 & 2 \end{matrix}) - (\begin{matrix} 1 & 1 \\ 1 & 1 \end{matrix})

Answer 5:

$(\begin{matrix} 4 & 3 \\ 2 & 1 \end{matrix})$

Question 6:

(\begin{matrix} - 3 & 0 \\ 2 & - 4 \end{matrix}) - (\begin{matrix} - 1 & 4 \\ 3 & - 5 \end{matrix})

Answer 6:

(\begin{matrix} - 2 & - 4 \\ - 1 & 1 \end{matrix})

Question 7:

(\begin{matrix} 4 & 3 \\ 2 & 1 \end{matrix}) \cdot (\begin{matrix} - 1 & 2 \\ - 2 & 7 \end{matrix})

Answer 7:

(\begin{matrix} - 10 & 29 \\ - 4 & 11 \end{matrix})

Question 8:

(\begin{matrix} 2 & 3 \\ 4 & 5 \end{matrix}) \cdot (\begin{matrix} 0 & 1 \\ 1 & 0 \end{matrix})

Answer 8:

(\begin{matrix} 3 & 2 \\ 5 & 4 \end{matrix})

Question 9:

(\begin{matrix} 1 & 2 \\ 2 & - 1 \end{matrix}) + {(\begin{matrix} 3 & 2 \\ 1 & 0 \end{matrix})}^{T}

Answer 9:

(\begin{matrix} 4 & 3 \\ 4 & - 1 \end{matrix})