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2JSM1 - FIRST SAMPLE MIDTERM FOR MATH 2J This sample 2J...

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Unformatted text preview: FIRST SAMPLE MIDTERM FOR MATH 2J This sample 2J midterm exam is meant for practice only. Length and content of the actual midterm may vary, at the discretion of the instructor. Try to complete the test in 50 minutes, without consulting any book or notes, and without using a calculator. 1 2 Problem 1 Use Gaussian elimination to solve the linear system: x 1 + x 2- x 3 + x 4 = 1 2 x 1 + x 2 + 2 x 4 = 3- x 1- 2 x 2 + 3 x 3- x 4 = 0 . 3 Problem 2 a Find the determinant of the matrix A = 1- 1 3- 1 0 2 2 1 2 1 . b If B is a 5 × 5 matrix with determinant 3, find: b1. the determinant of the matrix (- 2 B ); b2. the determinant of the matrix obtained by B by first switching the second and fourth row, and then diving the third column by 2. 4 Problem 3 a Give an example of augmented matrix for a system of 3 equations in 4 unknowns with no solutions ....
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2JSM1 - FIRST SAMPLE MIDTERM FOR MATH 2J This sample 2J...

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