4. An n by n matrix defines a linear transformation (function) on n-dimensional vectors. a12 ain ... a21 If A = a2 a2n ... and i = (x1, x2...Xn), then A. š is a new vector ỹ = (yı, y2 - . Yn), such that y; = (a¡¡x1 + a½X2+...+a¡nXn). In ... Ann other words, y; is the dot product of the i-th row of the matrix and x. Write and test a Python function, called linearTrans, that takes an n by n matrix A and an n-dimensional vector x and returns the vector A. x. 1 2 3 4 5 6 7 8 9.

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
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4. An n by n matrix defines a linear transformation (function) on n-dimensional vectors.
a12
a2n
a21
If A =
a22
and x = (x1, x2...Xn), then A. x is a new vector y = (y1, y2... Yn), such that y; = (a¡1x1 + a2X2+...+a¡nXn). In
Anl
an2
ann
..
other words, V; is the dot product of the i-th row of the matrix and x. Write and test a Python function, called linearTrans, that takes an n by n
matrix A and an n-dimensional vector x and returns the vector A. x.
1
3
4
5
7
8
9.
Transcribed Image Text:4. An n by n matrix defines a linear transformation (function) on n-dimensional vectors. a12 a2n a21 If A = a22 and x = (x1, x2...Xn), then A. x is a new vector y = (y1, y2... Yn), such that y; = (a¡1x1 + a2X2+...+a¡nXn). In Anl an2 ann .. other words, V; is the dot product of the i-th row of the matrix and x. Write and test a Python function, called linearTrans, that takes an n by n matrix A and an n-dimensional vector x and returns the vector A. x. 1 3 4 5 7 8 9.
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