Solution Found!
Find AB if ________________ ________________
Chapter 2, Problem 3E(choose chapter or problem)
Find AB if
Find \(\mathbf{A B}\) if
a) \(\mathbf{A}=\left[\begin{array}{ll}2 & 1 \\ 3 & 2\end{array}\right], \mathbf{B}=\left[\begin{array}{ll}0 & 4 \\ 1 & 3\end{array}\right]\).
b) \(\mathbf{A}=\left[\begin{array}{rr}1 & -1 \\ 0 & 1 \\ 2 & 3\end{array}\right], \mathbf{B}=\left[\begin{array}{rrr}3 & -2 & -1 \\ 1 & 0 & 2\end{array}\right]\).
c) \(\mathbf{A}=\left[\begin{array}{rr}4 & -3 \\ 3 & -1 \\ 0 & -2 \\ -1 & 5\end{array}\right], \mathbf{B}=\left[\begin{array}{rrrr}-1 & 3 & 2 & -2 \\ 0 & -1 & 4 & -3\end{array}\right]\).
Equation Transcription:
[], []
[] []
[] []
Text Transcription:
AB
A=[ 3 2 2 1 ], B=[ 1 3 0 4 ]
A=[ 2 3 0 1 1 -1] B=[1 0 2 3 -2 -1]
A=[-1 5 0 -2 3 -1 4 -3] B=[1 -1 4 -3 1 3 2 -2]
Questions & Answers
QUESTION:
Find AB if
Find \(\mathbf{A B}\) if
a) \(\mathbf{A}=\left[\begin{array}{ll}2 & 1 \\ 3 & 2\end{array}\right], \mathbf{B}=\left[\begin{array}{ll}0 & 4 \\ 1 & 3\end{array}\right]\).
b) \(\mathbf{A}=\left[\begin{array}{rr}1 & -1 \\ 0 & 1 \\ 2 & 3\end{array}\right], \mathbf{B}=\left[\begin{array}{rrr}3 & -2 & -1 \\ 1 & 0 & 2\end{array}\right]\).
c) \(\mathbf{A}=\left[\begin{array}{rr}4 & -3 \\ 3 & -1 \\ 0 & -2 \\ -1 & 5\end{array}\right], \mathbf{B}=\left[\begin{array}{rrrr}-1 & 3 & 2 & -2 \\ 0 & -1 & 4 & -3\end{array}\right]\).
Equation Transcription:
[], []
[] []
[] []
Text Transcription:
AB
A=[ 3 2 2 1 ], B=[ 1 3 0 4 ]
A=[ 2 3 0 1 1 -1] B=[1 0 2 3 -2 -1]
A=[-1 5 0 -2 3 -1 4 -3] B=[1 -1 4 -3 1 3 2 -2]
ANSWER:Solution:
Step 1:
In this problem we have to find AB matrix for these matrices.
Matrix Multiplication : if A be any matrix of order and B is an matrix , then their matrix product AB is an matrix , in which the m entries of row of A are multiplied with the m entries down a columns of B after then we summed to produce an entry of AB.