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Unformatted text preview: existence of the inverse of a matrix. 8. Find the norm of a vector. 9. Find the dot product and cross product between two vectors. 10. Find the cosine of the angle and sine of the angle between two vectors. 11. Show that two vectors are orthogonal. 12. Find the equation of the plane passing through a point where the plane has a normal vector. 13. Perform compositions of linear transformations, including reflection, projection, rotation, contraction, and dilation. 14. Justify whether a linear operator is one-to-one. 15. Find the standard matrix for a linear operator T from the images of the standard basis vectors....
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- Summer '11