Find the determinants of the linear transformations in Exercises 17 through 28.
Therefore, the determinant of the linear transformations is given by,
det T = det B = 1
A determinant is a unique number associated with a square matrix.
A determinant is a scalar value that is a function of the entries of a square matrix.
It is the signed factor by which areas are scaled by this matrix. If the sign is negative the matrix reverses orientation.
Given linear transformation,
Consider the linear transformation defined as .
Consider the basis for .
We have that
Thus the matrix of T with respect tois
det T = det B =1
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