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235_midterm_s11_info - Properties of orthonormal bases and...

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Math 235 Midterm Information Tuesday, June 7th, 4:30 - 6:20 p.m Room Assignments: By first initial of family name for all sections: MC 2017 : A - F DC 1350 : G - Q DC 1351 : R - Z Material Covered: Chapters 1, 2, and Section 3.1, 3.2 (i.e. assignments 1 - 4). You need to know: - All definitions and statements of theorems. - How to find a basis for the four fundamental subspaces of a matrix. - How to find a basis for the range and kernel of a linear mapping. - How to find a matrix of a linear mapping with respect to one or two bases. - How to prove a function is one-to-one and/or onto. - How to find and prove a function is an isomorphism. - Properties of inner products.
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Unformatted text preview: - Properties of orthonormal bases and orthogonal matrices.- There will be a few proofs which test your knowledge and understanding of the defi-nitions, theorems and concepts. These make about 30% of the marks on the test. The questions on the term test are largely based on those from assignments 1-4 (written and MapleTA), tutorials, and examples from class. Two previous term test 1s are posted on UWACE. Solutions to these will be posted on Wednesday June 1st. It is highly recommended that you make a serious attempt at all the problems before looking at the solutions. NO CALCULATORS allowed on any test!...
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