Question
a) For each of the following matrices explain why the matrix is not invertible.
i)[2,0,0_0,0,0_9,3,0]
ii)[3,4,-6_7,2,1_-6,-812]
iii)[5,-2,15_1,-4,3_2,1,6]
b) Suppose A is an n×n matrix with the property that the equation Ax = 0 has only the trivial
solution. Without using the...
Question
Consider the linear transformation T(x1,x2,x3)= (2*x1 -2*x2- 4*x3 ,x1+2*x2+x3)
(a) Find the image of (3, -2, 2) under T.
(b) Does the vector (5, 3) belong to the range of T?
(c) Determine the matrix of the transformation.
(d) Is the transformation T onto? Justify your answer
(e) Is the...
The reduced row echelon form of A=[1,2,5,b_ 4,a,17,-22_ row3]
is equal to R=[1,2,0,3_ 0,0,1,-2_ 0,0,0,0]
(a) What can you say about row 3 of A? Give an example of a possible third row for A.
(b) Determine the values of a and b.
(c) Determine the solution of the homogeneous system of equations...
Question 1
The reduced row echelon form of
3
4 17 22
1 2 5
row
a
b
A is equal to
0 0 0 0
0 0 1 2
1 2 0 3
R .
(a) What can you say about row 3 of A? Give an example of a possible third row for A.
(b) Determine the values of a and b.
(c) Determine...