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Compute - Linear Algebra - Solved Exam, Exams of Linear Algebra

Aliah UniversityLinear Algebra

This is the Solved Exam of Linear Algebra which includes Empty, Unique Solution, Contains, Equation, Solution, Calculations, Possible, Solution, Set, Three Vectors etc. Key important points are: Compute, Determinants, Matrices, Properties, Subspace, Span, Basis, Invertible Matrix, Eigenvector, Corresponding

Typology: Exams

2012/2013

Uploaded on 02/27/2013

senajit_98
senajit_98 🇮🇳

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Math 205 (Winter 2011) Test 2 (50 points) Name: Mo lw Ih uns « Check that you have 8 questions on three pages. « Show all your work to receive full credit for a problem. 1. (5 points) Let A and B be 3x3 matrices, with det A = 4 and det A°?B™ = —8, Use properties of determinants to compute: (a) dt2d = det A =F CH)H3r let ACB T= Gut AEA) Get 61) = -8 f= (6 dt Ota dob B= -1 ney det B! (b) det B 2. (4 points) Let H = Span {#,, t,..., iH} be a subspace of R°. Is the set {é,, d,..., 5} a basis for H? Explain. H i a subspace f (pe. Co dims 4 - Hence i Crome bee bese be bec anse one baa of H fer okmost fre veelors 19 ve (You ten also phow hot fe seb i nok fiw tad hace hente not a bans.)