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0.5 0.0 0.0 0.0 0.5 0.0 0.0 0.0 0.5 |
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2 4 6 0 -12 -8 4 0 4 |
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= | (0.5)I | ![]() |
2 4 6 0 -12 -8 4 0 4 |
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= |
0.5 | ![]() |
2 4 6 0 -12 -8 4 0 4 |
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= | ![]() |
1 2 3 0 -6 -4 2 0 2 |
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The diagonal matrix (aI) is sometimes useful in computer graphics. Say for example that what you want to compute is:
a Ax
where a is a scalar and x is a column matrix. Sometimes it is convenient to think of this as:
(aI)Ax
Now every operation is a matrix multiplication. This is an advantage since matrix multiplication can be done by graphics hardware.
What is (2I)(0.5I)?