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Determine the determinant of the matrix R when θ = π θ 4

Words: 111
Pages: 1
Subject: Engineering

L02 Solve systems of linear equations relevant to construction applications using matrix
methods

Assignment Brief and Guidance

Task 1
cos(θ ) sin (θ ) 1 0Rθ =  −sin(θ ) cos(θ ), X =  0,Y = 1
a) Determine the vector Z when θ = π , Z = R ×( X − Y ) 2 θ
b) Determine the determinant of the matrix R when θ = π θ 4
c) Determine the inverse of Rθ When θ =π 4
d) Solve the following equation for
1  = R × X  π
0 4
Task 2
You have been asked by the structural engineering department to find the determinant and
inverse of the following matrix
3 0 2  2 0 −2  0 1 1

Task 4
You have been asked to the following set of equations that have been obtained from the
structural engineering Department and verify your calculations using computer methods
2×2 + x3 = −8
x1 − 2×2 − x3 = 0
− x1 + x2 + 2×3 = 3