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Matrix | Tensor Analysis
Given the following:
A = 3 * 3
B = 2 * 4
C = 4 * 3
D = 3 * 2
Which of the following are defined:
A * D
D * B
A * D^T
C * D + A * D^T
A * B
A * D^T + C
A = 3 * 3
B = 2 * 4
C = 4 * 3
D = 3 * 2
Which of the following are defined:
A * D
D * B
A * D^T
C * D + A * D^T
A * B
A * D^T + C
Matrix | Tensor Analysis
Evaluate the following problem:
2*{{3,5},{7,9}} + 3*{{7,6},{5,4}} - 4*{{9,8},{7,6}}
2*{{3,5},{7,9}} + 3*{{7,6},{5,4}} - 4*{{9,8},{7,6}}
Matrix | Tensor Analysis
Solve the system of simultaneous equations below using any of the matrix method
2x + 3y - z = 6
3x + y + 5z =8
x + 2y + z =10
2x + 3y - z = 6
3x + y + 5z =8
x + 2y + z =10
Matrix | Tensor Analysis
4x + 2y + 3z. = 35
x + 3y + 2z. = 45
2x + y + 5z. = 28
Calculat value of x,y & z
Crsmer's rule.
x + 3y + 2z. = 45
2x + y + 5z. = 28
Calculat value of x,y & z
Crsmer's rule.
Matrix | Tensor Analysis
x + y + 2z =5
2 x-3y+5z =5
x + 2y- z. =6
Solve by matrix or adjestment metrix
And also calculate x,y & z.
2 x-3y+5z =5
x + 2y- z. =6
Solve by matrix or adjestment metrix
And also calculate x,y & z.
Matrix | Tensor Analysis
A is a m*n full rank matrix with m>n and I is an identity matrix. Let matrix A* = (A^T A)^-1 A^T. Then which of the following is FALSE?
a) AA* A = A
b) (AA*)^2 = AA*
c) A*A = I
d) AA* A = A*
a) AA* A = A
b) (AA*)^2 = AA*
c) A*A = I
d) AA* A = A*
Matrix | Tensor Analysis
A is a m*n full rank matrix with m>n and I is an identity matrix. Let matrix A* = (A^T A)^-1 A^T. Then which of the following is FALSE?
a) AA*A = A
b)
a) AA*A = A
b)
Matrix | Tensor Analysis
If (I - A)(I + A)^-1 is orthogonal, prove that A is a skew-symmetric matrix, I being the identity matrix of order same as A.
Matrix | Tensor Analysis
Q: Solve the following system of equations
3x+2y+4z=7
2x+ y+ z=7
x+3y+5z=2
using Gauss elimination with pivoting. Store the multipliers and also write the pivoting vector.
3x+2y+4z=7
2x+ y+ z=7
x+3y+5z=2
using Gauss elimination with pivoting. Store the multipliers and also write the pivoting vector.
Matrix | Tensor Analysis
1. Use technology to solve the appropriate matrix equation to find the quadratic equation that is the
best fit to the points (-2,25), (3,0) , (5,10) and (6,33).
2. Often data is expected to follow an exponential growth model of the form y = A^ekt, where t measures
time and k is called the growth rate. By rewriting the equation as log y = k^t+logA, use this technique
to find the values of A and k that give the best t of the exponential growth model to experimental
data where the values of y at times 0, 1, 2 and 3 are 11, 23, 42 and 80 respectively.
best fit to the points (-2,25), (3,0) , (5,10) and (6,33).
2. Often data is expected to follow an exponential growth model of the form y = A^ekt, where t measures
time and k is called the growth rate. By rewriting the equation as log y = k^t+logA, use this technique
to find the values of A and k that give the best t of the exponential growth model to experimental
data where the values of y at times 0, 1, 2 and 3 are 11, 23, 42 and 80 respectively.
"assignmentexpert.com" is professional group of people in Math subjects! They did assignments in very high level of mathematical modelling in the best quality. Thanks a lot
#339914 on Dec 2023
#339914 on Dec 2023