given matrix a below, and that a = b, find the value of the elements in b.\na=\begin{bmatrix}9&…
given matrix a below, and that a = b, find the value of the elements in b.\na=\begin{bmatrix}9& - 2&3\\2&17&0\\3&22&8end{bmatrix}
Answer
Explanation:
Step1: Recall matrix - equality property
If (A = B), then corresponding elements are equal.
Step2: Find (b_{11})
The element in the first - row and first - column of (A) is (9), so (b_{11}=9).
Step3: Find (b_{12})
The element in the first - row and second - column of (A) is (-2), so (b_{12}=-2).
Step4: Find (b_{13})
The element in the first - row and third - column of (A) is (3), so (b_{13}=3).
Step5: Find (b_{21})
The element in the second - row and first - column of (A) is (2), so (b_{21}=2).
Step6: Find (b_{22})
The element in the second - row and second - column of (A) is (17), so (b_{22}=17).
Step7: Find (b_{23})
The element in the second - row and third - column of (A) is (0), so (b_{23}=0).
Step8: Find (b_{31})
The element in the third - row and first - column of (A) is (3), so (b_{31}=3).
Step9: Find (b_{32})
The element in the third - row and second - column of (A) is (22), so (b_{32}=22).
Step10: Find (b_{33})
The element in the third - row and third - column of (A) is (8), so (b_{33}=8).
Answer:
(b_{11}=9) (b_{12}=-2) (b_{13}=3) (b_{21}=2) (b_{22}=17) (b_{23}=0) (b_{31}=3) (b_{32}=22) (b_{33}=8)