6. O True/false. Give a one sentence justification. A singular 2 x 2 matrix can have determinant 1; A reflection through the line x = 2 is a linear transformation; If the scalar/dot product of two vectors is zero, the vectors are parallel. Any two matrices can be added. Any two matrices can be multiplied.

Elementary Linear Algebra (MindTap Course List)
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Chapter3: Determinants
Section3.1: The Determinants Of A Matrix
Problem 70E: The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six...
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6.
(a)
(b)
(c)
(d)
(e)
True/false. Give a one sentence justification.
A singular 2 x 2 matrix can have determinant 1;
A reflection through the line x = 2 is a linear transformation;
If the scalar/dot product of two vectors is zero, the vectors are parallel.
Any two matrices can be added.
Any two matrices can be multiplied.
Transcribed Image Text:6. (a) (b) (c) (d) (e) True/false. Give a one sentence justification. A singular 2 x 2 matrix can have determinant 1; A reflection through the line x = 2 is a linear transformation; If the scalar/dot product of two vectors is zero, the vectors are parallel. Any two matrices can be added. Any two matrices can be multiplied.
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