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
