In Exercises 1–12, compute the indicated matrices, where A = egin{bmatrix} 2 & -1 & 5 \ 3 & 4 & 1 end{bmatrix} and B = egin{bmatrix} 1 & 0 & -2 \ 2 & 3 & 4 end{bmatrix}. 7. A + B 8. (A + 2B)^T 9. A^T 10. A - B 11. -(B^T) 12. (-B)^T
Added by Lisa R.
Close
Step 1
Step 1: Find the transpose of matrix B** Given matrix B: \[ B = \begin{bmatrix} 2 & 3 \\ 8 & 11 \end{bmatrix} \] Transpose of B denoted as \( B' \) is obtained by interchanging rows and columns: \[ B' = \begin{bmatrix} 2 & 8 \\ 3 & 11 \end{bmatrix} \] ** Show more…
Show all steps
Your feedback will help us improve your experience
Vishal Parmar and 69 other Calculus 3 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
Consider the following. A = [[-7, 6], [4, 7]], B = [[12, 11, 10], [-10, 0, 3]]. Use the matrices to perform matrix multiplication. AB
Himanshu G.
In Exercises 77–80, use the matrices $$A=\left[\begin{array}{rr} 2 & -1 \\ 1 & 3 \end{array}\right] \text { and } B=\left[\begin{array}{rr} -1 & 1 \\ 0 & -2 \end{array}\right].$$ Show that $(A+B)^{2} \neq A^{2}+2 A B+B^{2}$.
Matrices and Determinants
Operations with Matrices
In Exercises $9-10,$ compute the standard inner product on $M_{22}$ of the given matrices. $$U=\left[\begin{array}{rr} 3 & -2 \\ 4 & 8 \end{array}\right], \quad V=\left[\begin{array}{rr} -1 & 3 \\ 1 & 1 \end{array}\right]$$
Inner Product Spaces
Inner Products
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD