Find the determinants of the linear transformations in Exercises 17 through 28.
26. from the space V of symmetric 2 × 2 matrices to V
Therefore, the determinant of the linear transformations is given by,
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,
For , we have
So we compute
is a basis for , this means that the matrix of corresponding to is
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