The value of Matrix B = [tex]\left[\begin{array}{ccc}9&17&3\\2&17&0\\3&22&8\end{array}\right][/tex]
Given : Matrix A = Matrix B
matrix A= [tex]\left[\begin{array}{ccc}9&-2&3\\2&17&0\\3&22&8\end{array}\right][/tex]
The matrix A= [tex]\left[\begin{array}{ccc}9&-2&3\\2&17&0\\3&22&8\end{array}\right][/tex] (according to the question)
Since it is given A=B
and substituting the given values of elements of B
matrix B=[tex]\left[\begin{array}{ccc}9&17&?\\?&?&?\\?&?&?\end{array}\right][/tex]
According to the property of equality of matrices,
When the matrices are given to be equal, their corresponding elements are also equal
so
b13 = 3
b21 = 2
b22 = 17
b23 = 0
b31 = 3
b32 = 22
b33 =8
Substituting the found out values in place of the question marks,
Matrix B = [tex]\left[\begin{array}{ccc}9&17&3\\2&17&0\\3&22&8\end{array}\right][/tex]
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