Compute $AB$, where $A = \begin{pmatrix} -1 & 0 \ -5 & 6 \end{pmatrix}$ and $B = \begin{pmatrix} 6 & 8 \ -1 & -5 \end{pmatrix}$. $AB = $
Added by Jose Miguel R.
Close
Step 1
The resulting matrix will have the same number of rows as $A$ and the same number of columns as $B$. In this case, $A$ is a $2 \times 2$ matrix and $B$ is a $2 \times 2$ matrix, so the product $AB$ will be a $2 \times 2$ matrix. Show more…
Show all steps
Your feedback will help us improve your experience
Ankit Gupta and 80 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Finding the Product of Two Matrices Find $A B,$ if possible. $$A=\left[\begin{array}{rr} -1 & 6 \\ -4 & 5 \\ 0 & 3 \end{array}\right], \quad B=\left[\begin{array}{ll} 2 & 3 \\ 0 & 9 \end{array}\right]$$
Linear Systems and Matrices
Operations with Matrices
If $\mathrm{A}^{-1}=\left[\begin{array}{ccc}3 & -1 & 1 \\ -15 & 6 & -5 \\ 5 & -2 & 2\end{array}\right]$ and $\mathrm{B}=\left[\begin{array}{ccc}1 & 2 & -2 \\ -1 & 3 & 0 \\ 0 & -2 & 1\end{array}\right]$, find $(\mathrm{AB})$
Determinants
Applications of Determinants and Matrices
Finding the Product of Two Matrices Find $A B,$ if possible. $$A=\left[\begin{array}{rr} 3 & -1 \\ 4 & -5 \\ 2 & 6 \end{array}\right], \quad B=\left[\begin{array}{rr} 6 & 0 \\ 7 & -1 \end{array}\right]$$
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD