Question: For this test you are allowed to use a 3″” card of notes and a calculator. No cellphones, 1 21 0 …
Show transcribed image text For this test you are allowed to use a 3"" card of notes and a calculator. No cellphones, 1 21 0 2 3 2 1 1 3 2 1 2 12 2 1 3 1 0 0 0 4 0 0 I 0 0 0 0 0 01 0 0 0 ##1 (12 Points) Elementary matrix E-| 0 0 0 i 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 3 2 1 2 2 1 (a) Take 30 seconds each to compute the following: EA = E2A+ det (E) ##2 (10 Points) (a) For 20×20 upper triangular matrices A & B, the elements aij & bij are zero if (b) Write row number 7 of A here L (c) Write column number 5 of here: (Choose your answer from here: i >j or ji or i-j) answer (d) Write an expression for the element in row 7 and column 5 of the product AB, below: 20 (AB75- yab (Fill the index/subscripts for a and b) (e) Evaluate and Simplify the summation for (AB)75 in part (a) () Using parts (d), (e), is it true that the product of upper triangular matrices is also upper triangula answer: – suburban population. x- ) .where a -300,000- city-population & b-70,000-suburbao ##3 (10 Points) x = (a) Fill the blanks for a population-migration matrix, (b) 9% of the population move from (c) After many, many years what will the city population become? 0.91 0.1 to Answer Must show your work here:
For this test you are allowed to use a 3"" card of notes and a calculator. No cellphones, 1 21 0 2 3 2 1 1 3 2 1 2 12 2 1 3 1 0 0 0 4 0 0 I 0 0 0 0 0 01 0 0 0 ##1 (12 Points) Elementary matrix E-| 0 0 0 i 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 2 3 2 1 2 2 1 (a) Take 30 seconds each to compute the following: EA = E2A+ det (E) ##2 (10 Points) (a) For 20×20 upper triangular matrices A & B, the elements aij & bij are zero if (b) Write row number 7 of A here L (c) Write column number 5 of here: (Choose your answer from here: i >j or ji or i-j) answer (d) Write an expression for the element in row 7 and column 5 of the product AB, below: 20 (AB75- yab (Fill the index/subscripts for a and b) (e) Evaluate and Simplify the summation for (AB)75 in part (a) () Using parts (d), (e), is it true that the product of upper triangular matrices is also upper triangula answer: – suburban population. x- ) .where a -300,000- city-population & b-70,000-suburbao ##3 (10 Points) x = (a) Fill the blanks for a population-migration matrix, (b) 9% of the population move from (c) After many, many years what will the city population become? 0.91 0.1 to Answer Must show your work here:
