Structural Analysis 8th edition Hibbeler Problem 7a - 12b + .5c - 17d = -23 4b +

Question

Structural Analysis 8th edition Hibbeler Problem

7a - 12b + .5c - 17d = -23 4b + 10d - 1.5e = 67 3a +2b -2c + 4d - 8e = 45 4a +6d - e = -10 -3b + 36c - 3d + 8e = -198 Express the system of linear simultaneous equations in matrix form, [A] {X} = {B}, where [A] is the matrix of coefficients, {X} is the vector of unknowns, and {B} is the vector of constants. Calculate the product [A]T [A] using a spreadsheet. Calculate the product [A]-1 [A] using a spreadsheet. Solve for the vector of unknowns using a spreadsheet.

Explanation / Answer

A = [ 7 -12 .5 -17 0 ] [ 0 4 0 10 -1.5 ] [ 3 2 -2 4 -8 ] [ 4 0 0 6 -1 ] [ 0 -3 36 -3 8 ] B = [ -23 67 45 -10 -198 ]

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