# Linear Algebra

Suppose C and D and 5x5 matrices and det(C)=5, det(D)=6. Compute the determinant of the matrix 3C^T (4CD)^-1 C^2. Justify your answer by stating explicitly which calculation rules for the determinant you use.

1. 👍 0
2. 👎 0
3. 👁 126

## Similar Questions

1. ### algebra-det.

a) Suppose that B is an n ¡Á n matrix, and k is a scalar. Give a formula for det (kB) in terms of det B . b) Show that your formula from (a) is true for all n and for any k. det (kB) = k^n det B This is because the determinant

asked by Vidal on June 10, 2007
2. ### Math (matrices)

No one answered my matrix question. Let me rephrase: Let A, B, and 0 be 2x2 matrices. Assuming that A is invertible and 0 is all zeroes, what is the inverse of the matrix [A|0] [B|A] (that is a 4x4 matrix represented as 4 2x2

asked by James on November 16, 2006
3. ### Linear Algebra

Hi, I really need help with these True/False questions: (a) If three vectors in R^3 are orthonormal then they form a basis in R^3. (b) If Q is square orthogonal matrix such that Q^2018 = I then Q^2017 = Q^T. (c) If B is square

asked by Matt on March 26, 2017
4. ### Math

Suppose C and D are 2 × 2 matrices with det(C) = −3 and det(D) = 2. Find the determinant of the matrices 8C^3D2 and 5 C^-1

asked by Amelia on December 3, 2017
5. ### linear algebra

If A, B, and C are 3×3 matrices; and det(A) = −3, det(B) = −2, and det(C) = −1 then compute: det(2A^−1C^−1A^TC^2B^2) = 0

asked by sal on October 27, 2018
6. ### Algebra

A is a 2 by 2 matrix. Given that A=(5 1) (1 5) , what is the value of det(A)? det(A) is determinant of A

asked by Stranger on March 18, 2013
7. ### Math--Matrix

Q1. Suppose A= ( -1 2 -3 -4 3 2 1 3 1 ), then the determinant of this matrix is? Q2. Suppose det ( 1 2 3 1 4 5 y 4 5)=0, then y=?

asked by RA on February 2, 2017
8. ### math

Is the only way to check if a set of vectors are linearly indep. is if the det does not equal 0? I have a problem where v1= [1;2;1;-1] v2=[0;2;1;1] v3=[3 1 0 2] but this creates a 3X4 matrix and you can't find the det of this. I

asked by kirsten on March 4, 2015
9. ### Geometric Transformation, Unit Circle, Maths

Good morning, I have this question: the matrix A = 0 6 4 12 i) show that it is invertable. ii)Find the equation of the image f(c) of the unit circle c in the form. ax^2+bxy+cy^2=d iii)Calculate the area enclosed by f(c).

asked by Mat on February 18, 2017
10. ### Math

I have a few questions about T-Matrix. In excel, I am suppose to work with powered matrices to construct a weighted T matrix, using a scalar of .7. Does this mean I multiply each of the powered matrices by .7? Or do I power the

asked by Lisa on October 13, 2010

More Similar Questions