Question
Download Solution PDFIf A =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Symmetric Matrix:
- Square matrix A is said to be symmetric if the transpose of matrix A is equal to matrix A itself
- AT = A or A’ = A
Where, AT or A’ denotes the transpose of matrix
- A square matrix A is said to be symmetric if aij = aji for all i and j
Where aij and aji is an element present in matrix.
Calculation:
Given:
A is a symmetric matrix,
⇒ AT = A or aij = aji
A =
So, by property of symmetric matrices
⇒ a12 = a21
⇒ x – 3 = 3
∴ x = 6
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