Advanced Higher Tee Jay Exercises

Geometry, Proof & Systems of Equations Unit

Matrices & Systems of Equations

Introduce Matrices, Solve a System of Equations in Matrix form by ERO

Exercise 1

Solve the following equations using Gaussian Elimination (You may have to interchange

rows before you start):-

Compare Solns of Related Systems of 2 Eqns in 2 unknowns & recognise Ill Conditioning

Exercise 2

Show, by calculating the exact values, that the following system demonstrates ill

conditioning.

Matrix Operations +/-/x by a Scalar

Exercise 3

Exercise 4

Exercise 5

Matrix Multiplication

Exercise 6

Determinant & Inverse of 2x2 matrix

Exercise 7 [Qs 1, 2, 3]

Exercise 8

Determinant & Inverse of 3x3 matrix

Exercise 7 [Qs 4, 5, 6]

Exercise 9

Transformations

Exercise 10

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 6 (…cont)

Exercise 7

Exercise 8

Exercise 9

Exercise 9