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Quiz 05 for Math 205A: Solving Matrices and Inverse Operations, Exercises of Linear Algebra

Kumaun UniversityLinear Algebra

A math quiz from math 205a, focusing on solving matrices and finding inverses. It includes finding unknown elements in matrices a, b, and c, as well as finding the inverse of matrix d. Additionally, it covers the conditions for the existence and calculation of the inverse of a product of matrices g, q, p, and e.

Typology: Exercises

2012/2013

Uploaded on 02/27/2013

senapathy_101
senapathy_101 🇮🇳

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Math 205A Quiz 05 page 1 February 15, 2008 NAME
1. Let A=
3604
6s2t
1538
2u10
and B=
4107
173s
229t
1411
. Let C=AB and suppose C=
??h?
?28 ? ?
23 ? ? 29
??24?
.
1A. Find h.
1B. Find u.
1C. Find s.
1D. Find t.
2. Let D=74
53
.
2A. Find D−1.
2B. Use D−1to solve Dx
y=18
14.
3. Suppose that E,Q,Pand Gall belong to M3×3.
Under what conditions does (GQP E)−1exist, and what is (GQP E)−1in this case?

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Download Quiz 05 for Math 205A: Solving Matrices and Inverse Operations and more Exercises Linear Algebra in PDF only on Docsity!

Math 205A Quiz 05 page 1 February 15, 2008 NAME

  1. Let A =

6 s 2 t

1 5 3 8

2 u 1 0

and B =

1 7 3 s

2 2 9 t

1 4 1 1

. Let C = AB and suppose C =

?? h?

? 28??

23?? 29

?? 24?

1A. Find h.

1B. Find u.

1C. Find s.

1D. Find t.

  1. Let D =

[

]

2A. Find D

− 1 .

2B. Use D

− 1 to solve D

[

x

y

]

[

]

  1. Suppose that E, Q, P and G all belong to M 3 × 3.

Under what conditions does (GQP E)

− 1 exist, and what is (GQP E)

− 1 in this case?