Question
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Find the transpose of the matrix. Find the standard matrix of the linear transformation T. T: R2 rightarrow R2 rotates points (about the origin) through 3/4 pi radians (with counterclockwise rotation for a positive angles). Find the matrix product AB, if it is defined. AB is undefined. Find the inverse. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A-1 = (simplify your answers.) The matrix is not invertible. Determine if the columns of the matrix form a linearly independent set. Justify your answer. Choose the correct answer below. The columns of the matrix do not form a linearly independent set because Ax = 0, where A is the given matrix, has only the trivial solution. The columns of the matrix form a linearly independent set because Ax = 0, where A is the given matrix, has more than one solution. The columns of the matrix do not form a linearly independent set because the equation Ax = 0, where A is the given matrix, has more than one solution The columns of the matrix form a linearly independent set because the equation Ax = 0, where A is the given matrix, has only the trivial solution. For what values of h are the vectors [-2 -3 8] and [4 6 h] linearly independent? The vectors are linearly independent for all h. The vectors are linearly independent for all h -16. The vectors are linearly independent for all h = -16. The vectors are linearly independent for all h.
Explanation / Answer
1. D
2. A
3. B
4. 7/8 -1/3
-2/9 1/3
5.D
6.B
