Recent content by SiddharthThakur
-
S
MHB Why Are These Matrices Not Invertible?
Ok..- SiddharthThakur
- Post #4
- Forum: Linear and Abstract Algebra
-
S
MHB Conditions on Matrix Imply Conditions on Elements
I'm not able to do this question.How can I reduced it into RREF without knowing the elements of row3...? Its confusing me a lot.- SiddharthThakur
- Post #5
- Forum: Linear and Abstract Algebra
-
S
MHB Why Are These Matrices Not Invertible?
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...- SiddharthThakur
- Thread
- Matrices
- Replies: 7
- Forum: Linear and Abstract Algebra
-
S
MHB Image, Range, and Matrix of a Linear Transformation
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...- SiddharthThakur
- Thread
- Image Linear Linear transformation Matrix Range Transformation
- Replies: 3
- Forum: Linear and Abstract Algebra
-
S
MHB Conditions on Matrix Imply Conditions on Elements
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...- SiddharthThakur
- Post #3
- Forum: Linear and Abstract Algebra
-
S
MHB Conditions on Matrix Imply Conditions on Elements
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...- SiddharthThakur
- Thread
- Conditions Elements Matrix
- Replies: 6
- Forum: Linear and Abstract Algebra