1111.11113 3 2 311B =11C =11A =13 23 3 413 2 011114111131 11 4 11 3 1 11 1 1 2 1,111D =For which matrices does the sequence of columns span R4?a) For every matrix the column space is R*.b) For none of the matrices is the column space R*.c) For only Cd) For only D.e) For only C and D.

Answered: Image /qna-images/answer/bb448de3-07ee-4a9e-a4fc-e0ff0d0440e0.jpg

1 1 1 1 4 1 1 1 1 1 1 0 1 2 1 1 3 20 1 4 1 0 1 1 3 3 2 3 3 2 3 3 4 1 3 1 1 3 1 1 1 1 3 A = B = C = 1 1 1 1 1 1 1 14 1 1 D = 1 1 3 1 1 1 1 1 1 2 1, For which matrices does the sequence of columns span R*?

1 1 1 1 4 1 1 1 1 1 1 0 1 2 1 1 3 20 1 4 1 0 1 1 3 3 2 3 3 2 3 3 4 1 3 1 1 3 1 1 1 1 3 A = B = C = 1 1 1 1 1 1 1 14 1 1 D = 1 1 3 1 1 1 1 1 1 2 1, For which matrices does the sequence of columns span R*?

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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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

1
1
1
1.
1
1
1
1
3 3 2 3
1
1
B =
1
1
C =
1
1
A =
1
3 2
3 3 4
1
3 2 0
1
1
1
1
4
1
1
1
1
3
1 1
1 4 1
1 3 1 1
1 1 1 2 1,
1
1
1
D =
For which matrices does the sequence of columns span R4?
a) For every matrix the column space is R*.
b) For none of the matrices is the column space R*.
c) For only C
d) For only D.
e) For only C and D.

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