For the equation ax^2 + bxy + cy^2 = 0, let A = [a b/2 b/2 c] (A is a 2x2 matrix) Show that if det(A) = 0, then the graph of ax^2 + bxy + cy^2 = 0 is a line. Show that if det(A) != 0, then the graph of ax^2 + bxy + cy^2 = 0 is two intersecting lines.

I have a matrix like this: Find A^-1.

An n x n matrix A is skew symmetric if A^(-1)=A^t. Prove that if A is invertible and skew-symmetric that A^(-1) is also skew symmetric (use the properties of inverses.) You need to show that (A^(-1))^t=-A^(-1) . Select the antecedent of the theorem you are proving, then prove the theorem in the box provided. If attaching a file, use only pdf format.

(b) Compute A^2. What is the meaning of the number in the first row and first column of A2? (c) Could the matrix A^2 be the adjacency matrix of a simple graph? If so, draw the graph. If not, explain why.

Pls solve this question correctly instantly in 5 min i will give u 3 like for sure

Let o3 be the Pauli matrix (6 ^) 03 show that the matrix II = (I2 + 03) ® I2 is a projection matrix.