The value of Det R is 1, which matches the determinant for our other, not rotation matrices, and R·R^t is a symmetric matrix.
What is the matrix?
It is defined as the group of numerical data, functions, and complex numbers in a specific way such that the representation array looks like a square, rectangle shape.
We have a transformation matrix
[tex]\rm R = \left[\begin{array}{ccc}1&1\\-1&0\\\end{array}\right][/tex]
For its determinant value:
[tex]\rm Det (R) = \left|\begin{array}{ccc}1&1\\-1&0\\\end{array}\right|[/tex]
Det(R) = (1)(0) - (-1)(1)
Det(R) = 0 +1 ⇒ 1
As it is given that the transformation matrix R has the same determinant value as the non-transformation matrix.
The product of the matrix and its transpose is always a symmetric matrix.
Thus, the value of Det R is 1, which matches the determinant for our other, not rotation matrices, and R·R^t is a symmetric matrix.
Learn more about the matrix here:
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