a. Compute the determinant 4 0 0 2 3 4 1 1 1 3 4 3 1 1 1 [Marks = 8] b. Give an example of square matrices A and B, each with nonzero determinant, where det (A + B) = det (A) + det (B) Size 2 x 2 for the matrices will suffice the purpose [Marks = 2] %3!
a. Compute the determinant 4 0 0 2 3 4 1 1 1 3 4 3 1 1 1 [Marks = 8] b. Give an example of square matrices A and B, each with nonzero determinant, where det (A + B) = det (A) + det (B) Size 2 x 2 for the matrices will suffice the purpose [Marks = 2] %3!
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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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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![a. Compute the determinant
4
0 0
4
1
1
3
1
3
4
3
1
1
1
2
1
[Marks = 8]
b. Give an example of square matrices A and B, each with nonzero determinant, where
det (A + B) = det (A) + det (B)
Size 2 x 2 for the matrices will suffice the purpose
[Marks = 2]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03fb929a-cbd9-4645-8c09-6942d746fc16%2F585a6a54-383b-4687-895e-54aabf334ed2%2Flxbqt3i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a. Compute the determinant
4
0 0
4
1
1
3
1
3
4
3
1
1
1
2
1
[Marks = 8]
b. Give an example of square matrices A and B, each with nonzero determinant, where
det (A + B) = det (A) + det (B)
Size 2 x 2 for the matrices will suffice the purpose
[Marks = 2]
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