2 A-13 31-1²-10 If 5 12. Let A = 0 3 00 02 O -1 a b с d' then a + b +c+d=
Chapter4: Systems Of Linear Equations
Section4.6: Solve Systems Of Equations Using Determinants
Problem 277E: Explain what is meant by the minor of an entry in a square matrix.
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Question
Transcribed Image Text:The problem presented involves matrix operations. Here is the transcription of the problem:
12. Let \( A = \begin{pmatrix} 2 & 1 \\ 5 & 3 \end{pmatrix} \). If \( A^{-1} = \begin{pmatrix} a & b \\ c & d \end{pmatrix} \), then calculate \( a + b + c + d \).
The options provided for the solution are:
- 3
- 0
- 2
- -1
The task is to calculate the sum of the elements (a, b, c, and d) of the inverse matrix \( A^{-1} \).
Expert Solution
Step 1
Consider the given matrix,
It is required to find the value of such that .
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