Vector Multiplication Using Matrices Answers

Using both the rotation matrices earlier in this lesson and your matrix calculator, find each determinant. Det −1 0 0 −1 = Det 0 1 −1 0 = Find the following determinant by hand. Det 1 2 2 − 2 1 2 =

Find the determinant of each of these:The determinant of each of these is .

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2cosxsinx✔ cos²x + sin²xcos²x - sin²x

✔ 1sin2xcos2x

a = ⇒ 1, b = ⇒ 0, c = ⇒ 0, and d = ⇒ 1,

All these reflections resulted in similar but different sized✔ congruentnot similar figures.

Choose the correct choice for the matrix after applying the transformation to the triangle:

The resulting matrix creates an image that is Similar but different sizesCongruent✔ Not similar to the original triangle.

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✔ rotation matricesreflection matricestranslation matrices

Find the product of the matrix and its transpose: R·Rt is the original rotation matrix.the transpose.✔ the identity matrix.none of the above..

Repeat this process for the other three matrices. The product of a reflection matrix and its transpose is the zero matrix✔ identity matrixoriginal reflection matrixtranspose.