קת -Th Using the following Maple session, or otherwise, answer the questions below. > with (LinearAlgebra): >A := <

[answerhappygod]

1 (96.2 KiB) Viewed 38 times

קת -Th Using the following Maple session, or otherwise, answer the questions below. > with (LinearAlgebra): >A := <<m, 1, 2 > I < 9, m, 1> I <3, 1, 4+m > >: >b:- <-m*3+m*2-6*+9, -m^2, -m>: >M:= <A>; 9 3 -m3 + m2 6 m. + 9 +9 M:= 1 1 -m? 2 1 4m > Mi :- RowOperation (M, [2, 1]): > M2 := Rowóperation (M1, [2, 1], -m): > M3 :- RowOperation (M2, 13, 1], -2); 1 m 1 -m2 M3 09 m2 3 0 1-2m 4m - 2 2m2 - m. > M4 := simplify (RowOperation (M3, 3, 1/(2*m - 1) )): > M5 :- simplify (RowOperation (M1, 2, 1/ (3 - m))): > M6 := RowOperation (M5, [2, 3]): > M7 :- RowOperation (M6, [3, 2], m+ 3); 1 1 -TTLE M7:10 -1 2 mn 0 0 2m +7 m2 + 2m +3 ( m3)2 772 : 1722 + Consider the following system of linear equations in , y and z with real parameter m. 13 9y + 33 -3 + m2-6m +9 + my + -m2 2: + + + 4m3 = -172 For the questions below, enter your answer in one of the following formats. Note that you must enter exact answers, for example, for 1/3 do not enter a decimal approximation such as 0.3333333333. For negative denominators you must use brackets, for example, 3/2 or 2/ (-2) but not 3/-2. Type of answer How to enter Example A single number The number 3 Two or more numbers Values separated by commas 1, 2, 3 All real numbers except one The word 'not followed by the number " All real numbers except two or more values The word 'not followed by the numbers separated by commas not 1, 2, 3 All real numbers The letter "R" No values The word 'none' a) For which real value or values of in, if any, does the system have no solution? -7/2 b) The system has infinitely many solutions when m = 3. For which other real value or values of m does the system have infinitely m many solutions? C) For which real value or values of m, if any, does the system have a unique solution? , , ? 1 To enter a vector, use Maple syntax. For example, the vector 2 should be entered as < 1, 2, 3 > 3 d) Form = 3, the system has solution in the form X= a + Av, a where is a scalar and x, a and v are vectors with x = ) a 22 23 Find appropriate vectors a and V and enter them in the box using Maple syntax. a V= v