200 2. The matrix4 1 0has the inverse matrit 20 1 2007 /2 0 07 -/4 10 /2 0 1 /2 0 0 -1/2 0 0 410 6. 2 10 d. 1/4 I0 C. -2 01 -1 0 1 -1/2 0 1 3.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. Let the matrix
42
be factorized in LDU form such that U =
12
Then, M12
0 1
6.
C.
d. 2
2 0 0
2. The matrix41 0has the inverse matrit
20 1
200
/2 0 0
/2 0 0
-1/2 0 0
1/4 I 0
-1/2 0 1
4.
-/4 10
/2 0 1
C.
2 1 0
-2 01
-I 0 1
1.
3. The system1
1-8x=b has exactly one solution for any be R' when
a
0 a-B
a *B
d aß 0
KAHRABTE
-3 -2 1
4. Let B= 0
8 8I C(B) =N(A) then matrix A has this minimum number of rows:
0 2 -2
3 3 0
6. 2
3. Knowing that the coefficient matrix of the system d= can be written in the form 4-LU, and
that Gauss elimination transforms the system into Ug =c, then
6. Given A is a 4x3 matrix, the matrix
is singular for any 4x1 vector s that satisfies
A ceC(A)
ceC(4)
7. Givep that D-
then N(D) contains
All vectors that
belang to both
N(A) and N(8)
& All vectors that
belong to N(A)
N(B)
. All vectors that
belong to
N(A+ B)
4 All vectors that
belong to
N(AB)
Transcribed Image Text:1. Let the matrix 42 be factorized in LDU form such that U = 12 Then, M12 0 1 6. C. d. 2 2 0 0 2. The matrix41 0has the inverse matrit 20 1 200 /2 0 0 /2 0 0 -1/2 0 0 1/4 I 0 -1/2 0 1 4. -/4 10 /2 0 1 C. 2 1 0 -2 01 -I 0 1 1. 3. The system1 1-8x=b has exactly one solution for any be R' when a 0 a-B a *B d aß 0 KAHRABTE -3 -2 1 4. Let B= 0 8 8I C(B) =N(A) then matrix A has this minimum number of rows: 0 2 -2 3 3 0 6. 2 3. Knowing that the coefficient matrix of the system d= can be written in the form 4-LU, and that Gauss elimination transforms the system into Ug =c, then 6. Given A is a 4x3 matrix, the matrix is singular for any 4x1 vector s that satisfies A ceC(A) ceC(4) 7. Givep that D- then N(D) contains All vectors that belang to both N(A) and N(8) & All vectors that belong to N(A) N(B) . All vectors that belong to N(A+ B) 4 All vectors that belong to N(AB)
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