points Given two matrices A = [a;j] and B = [bij] from M23, define their inner product as(A, B) = a11b11 +a12b12 + a13b13 + a21b21a22b22 + a23b23.Letx - [¿ : :]2343-40.andY6.3-2(a) Find ||X|| and ||Y||.(b) Find (X, Y).(c) Find the angle between X and Y, round it to the nearest degrees.(d) Find the distance between X and Y.

Answered: Image /qna-images/answer/cb72ea23-e318-46f7-b669-89218c9cd141.jpg

Given two matrices A = aij] and B = [bij] from M23, define their inner product as (A, B) = a11b11 + a12b12 + a13b13 + a21b21 + a22b22 + a23b23. Let x - [ : ] 2 3 4 3 -4 X and 6. 0 3 -2 (a) Find ||X || and ||Y ||. (b) Find (X, Y). (c) Find the angle between X and Y, round it to the nearest degrees. (d) Find the distance between X and Y.

Given two matrices A = aij] and B = [bij] from M23, define their inner product as (A, B) = a11b11 + a12b12 + a13b13 + a21b21 + a22b22 + a23b23. Let x - [ : ] 2 3 4 3 -4 X and 6. 0 3 -2 (a) Find ||X || and ||Y ||. (b) Find (X, Y). (c) Find the angle between X and Y, round it to the nearest degrees. (d) Find the distance between X and Y.

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

points Given two matrices A = [a;j] and B = [bij] from M23, define their inner product as
(A, B) = a11b11 +a12b12 + a13b13 + a21b21
a22b22 + a23b23.
Let
x - [¿ : :]
2
3
4
3
-4
0.
and
Y
6.
3
-2
(a) Find ||X|| and ||Y||.
(b) Find (X, Y).
(c) Find the angle between X and Y, round it to the nearest degrees.
(d) Find the distance between X and Y.

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