Mat_Assignment 2 guidance

Mat1503 Assignment 2 of 2021 Q1 See example 6 of section 1.3 Q2 See Def 2 and example 2 of section 1.3 if A and B are 2x2 matrices with A=B, then then a11 = b11 ; a12 = b12 …. Q3 See example 3,4 & 5 of section 1.3 Q4 See Theorem 1.4.1 and 1.4.8 of section 4.1 Also ORDER matters in matrix multiplication (see properties of matrix multiplication before example 2 in section 1.4) Q5 Apply properties of matrix arithmetric (Theorem 1.4.1 of section 4.1) Q6 6.1 - for 2x2 matrix see Theorem1.4.5 of section 1.4 6.2 - see example 4 of section 2.1 Always use the row/column with the most zeros when required to calculate the determinate (i.e in this case, calculate determinate along first row) 6.3 - 2x2 matrixx inverse - see Theorem1.4.5 of section 1.4 Q7 To find inverse - either use - row operations (see example 4 of section 1.5) ; or - cramer's rule (see theorem 2.3.7) Q8 see Theorem 2.2.1 of section 2.2 Start with: Let A be a nxn matrix…. Q9 Def 1 of section 1.7 Calc AAT and (AAT)T (Test with 2x2 matix) Q10 Det B: Always use the row/column with the most zeros when required to calculate the determinate Apply theorem 2.3.3 of section 2.3 To find inverse - either use