1. The following matrix 13 row echelon form of the matrix A= 1 O T (a) Find (5) Find (c) Let 3 = -2 0 Use this information to the linear transformation a 0 O 1 0 2 1 2-2 a 2 5 10 -1 2 on answer the right is A the B = on -COD basis for R (LA) basis for N(LA) 1 -1 0 1 0 0 อ TOOO LA: IR6 → IR 4 the reduced left: O 11b1-6b2+263 +b4 = 0 2 1 1 -3 DO O the following questions about T 0 0 0 (1) 1² EIR", Show that be IR(LA) iff 54

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. The following matrix 13
on
row echelon form of the matrix
A=
1
2 -2
Use this information to
the linear transformation
(a) Find
(b) Find
(c) Let 3 =
a
0 O 2
1
2
1
2 -2
a
-1
4
2
1
answer
the right is.
A
the
B =
on
basis for R (LA)
basis for N(LA)
LA: IR→ IR 4
T
() EIR*, Show that
b3
54
11b1-6b2 +2b3 +54
the reduced
left:
0
0
1
0
0
O
0 0 0 0 0
D
O
-
the following questions about
T
1
-3 0
0
Show that be IR(LA) iff
Transcribed Image Text:1. The following matrix 13 on row echelon form of the matrix A= 1 2 -2 Use this information to the linear transformation (a) Find (b) Find (c) Let 3 = a 0 O 2 1 2 1 2 -2 a -1 4 2 1 answer the right is. A the B = on basis for R (LA) basis for N(LA) LA: IR→ IR 4 T () EIR*, Show that b3 54 11b1-6b2 +2b3 +54 the reduced left: 0 0 1 0 0 O 0 0 0 0 0 D O - the following questions about T 1 -3 0 0 Show that be IR(LA) iff
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