Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![**Matrix Multiplication Exercise**
Use the matrices below to perform matrix multiplication.
\[ B = \begin{bmatrix} 4 & 7 & 5 \\ -10 & 0 & 11 \end{bmatrix}, \quad D = \begin{bmatrix} 4 & -5 & 12 \\ 9 & 5 & 1 \\ 0 & 8 & -11 \end{bmatrix} \]
If the operation is undefined, enter NA.
**Explanation:**
Matrix B is a 2x3 matrix and matrix D is a 3x3 matrix. Matrix multiplication is defined for these matrices because the number of columns in matrix B (3) matches the number of rows in matrix D (3). Therefore, the product will be a 2x3 matrix.
To multiply matrices B and D, you'll need to take the dot product of rows from matrix B with columns from matrix D.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c2c9f27-2629-48bf-9d4e-bc9a3ee26581%2F858b6c15-0530-4b1d-b650-e66ea63c1cc0%2Fwb1rr59_processed.png&w=3840&q=75)
Transcribed Image Text:**Matrix Multiplication Exercise**
Use the matrices below to perform matrix multiplication.
\[ B = \begin{bmatrix} 4 & 7 & 5 \\ -10 & 0 & 11 \end{bmatrix}, \quad D = \begin{bmatrix} 4 & -5 & 12 \\ 9 & 5 & 1 \\ 0 & 8 & -11 \end{bmatrix} \]
If the operation is undefined, enter NA.
**Explanation:**
Matrix B is a 2x3 matrix and matrix D is a 3x3 matrix. Matrix multiplication is defined for these matrices because the number of columns in matrix B (3) matches the number of rows in matrix D (3). Therefore, the product will be a 2x3 matrix.
To multiply matrices B and D, you'll need to take the dot product of rows from matrix B with columns from matrix D.
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