Subject Name: Linear AlgebraPlease solve problem 4 onlymust be handwriting answer on paper Problem 1: If a 4 x 4 matrix has det (A) = 1, find det (2A) and det (-A)and det (A²) and det (A-¹).Problem 2: If a 3 x 3 matrix has det (A) = -1, find det (A) anddet (-A) and det (A²) and det (A-¹).Problem 3: Do these matrices have determinant 0, 1, 2, or 3?CiA =001100010B =A01 11011 10Problem 4: Reduce A to U and find det (A) = product of the pivots:1113122231 23333"C =A110N

REDUCE A INTO UPPER TRIANGULAR MATRIX OR ECHLEON FORM ,

Answered: Problem 4: Reduce A to U and find…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Subject Name: Linear Algebra

Please solve problem 4 only

must be handwriting answer on paper

Problem 1: If a 4 x 4 matrix has det (A) = 1, find det (2A) and det (-A)
and det (A²) and det (A-¹).
Problem 2: If a 3 x 3 matrix has det (A) = -1, find det (A) and
det (-A) and det (A²) and det (A-¹).
Problem 3: Do these matrices have determinant 0, 1, 2, or 3?
Ci
A =
001
100
010
B =
A
01 1
101
1 10
Problem 4: Reduce A to U and find det (A) = product of the pivots:
1
1
13
12
223
1 23
333
"
C =
A
110
N

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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