1 01 12 2 -1 12 1 3 01 13. Let A =0 1(a) Compute the determinant of A.(b) If possible, compute also the determinants of A- and AA-1.(c) Give a general formula for the computation of the determinant of an n xn matrix.(d) Suppose U, V are invertible 4 x 4 matrices with det(U) = 5 and det(V) = 18.Compute det(U-1AV*).

Answered: Image /qna-images/answer/d57e5f0f-79a9-4f96-8e33-b4fd6435e0c3.jpg

Answered: 1 0 1 1 2 2 -1 1 3. Let A = 2 1 3 0 1 1…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Similar questions

Consider the matrix a) Find the determinant of A. det (A) = -30 b) If det (A) = 0, find the inverse of A. A 1 = sin (a) f əx a 1 30 c) Verify your answer in (b). A-¹A = sin (a) a f əx ∞ ∞ A = a a -5 4 2 X AZ
Compute the determinant using a cofactor expansion across the first row. Also compute the determinant by a cofactor expansion down the second column. 30 3 23 3 05 - 1 Compute the determinant using a cofactor expansion across the first row. Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) - A. Using this expansion, the determinant is − (3)( − 18) + (0)( − 2) – (3)(10) = . B. Using this expansion, the determinant is -(0)( − 2) + (3)( − 3) − (5)(3) = C. Using this expansion, the determinant is (3)( – 18) − (0)( − 2) + (3)(10) = D. Using this expansion, the determinant is (0)( − 2) − (3)( − 3) + (5)(3) = Compute the determinant using a cofactor expansion down the second column. Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) A. Using this expansion, the determinant is (3)(- 18) + (0)( − 2) − (3)(10) = B. Using this expansion, the determinant is (0)( − 2) – (3)( − 3) +…
Fill in the blanks with appropriate numbers to calculate the determinant. (a) 9 - • 4 = %3D 1 -1 -3 (b) = ? v1 : O: -3) = 3 -4 1 • 0 - • 2) 3 . -3) • 1 - 2
Let 1 0 1 A = 2 10 2 0 1 (a) Compute the determinant of A, the determinant of 2A and the determinant of 345. (b) Compute the inverse of A, given that the matrix of minors is equal to: 1 2 -2 M = -1 0 –1 -2 1
[4 2 4] 0 6 [4 6 4] Q1\ Assume A = 1- Find value of x that made A symmetric matrix 2- Find cofactor for x 3- Find determinant of .
Find the determinant for A by first converting A to upper triangular matrix
27
I need help with this please, thanks.
4. Let two 3 × 3 matrices A and B be given by 1 -2 2 0 1 -1 A = -2 1 0 and B = -5 1 -3 3 3 -2 -1 (a) Calculate the matrix products AB and A'B, where A' is the transpose of A. (b) Calculate the determinants of A and B. Use the result to obtain the determinant of AB and of A'B. (c) Calculate the inverse matrix of A, if it exists.

Recommended textbooks for you

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Elementary Geometry for College Students

Geometry

ISBN:

9781285195698

Author:

Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:

Cengage Learning

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Elementary Geometry for College Students

Geometry

ISBN:

9781285195698

Author:

Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

1 0 1 1 2 2 -1 1 3. Let A = 2 1 3 0 1 1 0 1 (a) Compute the determinant of A. (b) If possible, compute also the determinants of A- and AA-. (c) Give a general formula for the computation of the determinant of an n xn matrix.