The expansion of a 3 x 3 determinant can be remembered by the following device. Write a second copy of the first two columns to the right of the matrix, and compute the determinant by multiplying entries on six diagonals: [a1 a12 d13, au 412 Add the downward diagonal products and subtract the upward products. Use this method to compute the determinants in Exercises. Warning: This trick does not generalize in any reasonable way to 4 x 4 or larger matrices. 2 -3 3 3 -1
The expansion of a 3 x 3 determinant can be remembered by the following device. Write a second copy of the first two columns to the right of the matrix, and compute the determinant by multiplying entries on six diagonals: [a1 a12 d13, au 412 Add the downward diagonal products and subtract the upward products. Use this method to compute the determinants in Exercises. Warning: This trick does not generalize in any reasonable way to 4 x 4 or larger matrices. 2 -3 3 3 -1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:The expansion of a 3 x 3 determinant can be remembered by the following device. Write a second copy of the first two
columns to the right of the matrix, and compute the determinant by multiplying entries on six diagonals:
[a1 a12 d13, au 412
Add the downward diagonal products and subtract the upward products. Use this method to compute the determinants in
Exercises. Warning: This trick does not generalize in any reasonable way to 4 x 4 or larger matrices.
2 -3
3
3 -1
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
