Recent content by scholesmu

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    Graduate Solution: ▽ · F = −3xy / (x2 + y2)^5/2

    Find ▽ · F if F = x i / (x2 + y2)^3/2 + y j (x2 + y2)^3/2 . Solution: ▽ · F = −1 / (x2 + y2)^3/2
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    Undergrad Is this matrix diagonalizable?

    A= (3 0 0 3 ) why is it diagonalizable? i'm not sure...
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    Undergrad Are the Columns of Matrix A Linearly Independent?

    Q1: Let A = 1 3 0 0 -4 4 3 4 5 a) Find Cartesian equations for Col(A) and Null(A). b) Are the columns of A linearly independent? Give full reasons for your answer (based on the definition of linear independence). Q2: Prove that in any vector space k × 0 = 0, where k is any real...