Question
Download Solution PDFIf
Where I is the unit matrix of 2 × 2 & AT is the transpose of A, then the value of θ is equal to ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Transpose of a Matrix:
The new matrix obtained by interchanging the rows and columns of the original matrix is called the transpose of the matrix.
It is denoted by A′ or AT
Equal matrix:
Two matrices are equal if they have the same dimension or order and the corresponding elements are identical.
Calculation:
Given
A + AT =
∴ 2cos 2θ = 1
cos 2θ =
2θ =
θ =
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