if then matrix A must be either .
The statement is false.
Consider a matrix A satisfying the condition,
Consider a matrix,
Thus the given statement is false.
Give a geometric interpretation of the linear transformations defined by the matrices in Exercises 16 through 23 . Show the effect of these transformations on the letter considered in Example 5 . In each case, decide whether the transformation is invertible. Find the inverse if it exists, and interpret it geometrically. See Exercise 13 .
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