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Solved: Use the definition of Ax to write the matrix
Chapter 1, Problem 6E(choose chapter or problem)
In Exercises 5-8, use the definition of Ax to write the matrix equation as a vector equation, or vice versa.
\(\left[\begin{array}{rr}7 & -3 \\ 2 & 1 \\ 9 & -6 \\ -3 & 2\end{array}\right]\left[\begin{array}{l}-2 \\ -5\end{array}\right]=\left[\begin{array}{r}1 \\ -9 \\ 12 \\ -4\end{array}\right]\)
Questions & Answers
QUESTION:
In Exercises 5-8, use the definition of Ax to write the matrix equation as a vector equation, or vice versa.
\(\left[\begin{array}{rr}7 & -3 \\ 2 & 1 \\ 9 & -6 \\ -3 & 2\end{array}\right]\left[\begin{array}{l}-2 \\ -5\end{array}\right]=\left[\begin{array}{r}1 \\ -9 \\ 12 \\ -4\end{array}\right]\)
ANSWER:Answer:
Step 1:
In this problem we need to write the matrix equation as a vector equation.
By the definition of AX , the matrix vector product AX is defined by:
Here ,are columns of A , and
are entries of x.