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
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.
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
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
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