Let L : R? → R? be the linear transformation which rotates points on xy plane anticlockwise by 30 degrees. Suppose A is the standard matrix of L. Then A-1 is the matrix which rotates points on xy plane anticlockwise by degrees; AT is the matrix which rotates points on xy plane anticlockwise by degrees; A7 is the matrix which rotates points on xy plane anticlockwise by degrees. Fill in the blanks with numbers between 0 and 360.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let L : R? → R? be the linear transformation which rotates points on xy plane anticlockwise
by 30 degrees.
Suppose A is the standard matrix of L.
Then
A-1 is the matrix which rotates points on xy plane anticlockwise by
degrees;
AT is the matrix which rotates points on æy plane anticlockwise by
degrees;
A7 is the matrix which rotates points on xy plane anticlockwise by
degrees.
Fill in the blanks with numbers between 0 and 360.
Transcribed Image Text:Let L : R? → R? be the linear transformation which rotates points on xy plane anticlockwise by 30 degrees. Suppose A is the standard matrix of L. Then A-1 is the matrix which rotates points on xy plane anticlockwise by degrees; AT is the matrix which rotates points on æy plane anticlockwise by degrees; A7 is the matrix which rotates points on xy plane anticlockwise by degrees. Fill in the blanks with numbers between 0 and 360.
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