136_tt1_w12_info - use this to find the general solution...

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Math 136 Term Test 1 Information Monday, Feb 6th, 7:00 - 8:30 pm Material Covered: Chapters 1 and 2 (assignments 1 - 4). You need to know: - All definitions and statements of theorems. - How to perform operations on vectors (addition, scalar multiplication, dot product, and cross product). - How to find the normal vector and scalar equation of a plane. - How to determine if a vector is in a spanning set, or if a set of vectors is linearly independent. - How to find the projection and perpendicular of a vector onto a vector or plane. - How to determine if a set is a subspace of R n . - How to write the coefficient and augmented matrix of a system of linear equations. - How to row-reduce a matrix to RREF using elementary row operations and how to
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Unformatted text preview: use this to find the general solution of a system of linear equations.- The circumstances under which a system of linear equations has none, one, or infinitely many solutions.- There will be a few proofs which test your knowledge and understanding of the defi-nitions, theorems and concepts. The questions on the term test are largely based on those from assignments 1 - 4, problems from the course notes, and examples from class. Two previous term test 1s are posted on D2L. Solutions to these will be posted on Wednesday. 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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