Let z be a real number and let A be the matrix 2 I A - (-34). -2 i. Find all values of r such that A is invertible. ii. Find all values of r such that A is its own inverse.

Q: 3. Find the inverse of the matrix and verify that your answer correct. -1 0 4 - 5 8 -7 - 3 6 - 9

A:

Q: Multiply matrix [1 2 3] by [5 4 2 030

A:

Q: For which values of the constants b and c is the follow- ing matrix invertible? 1 b -1 -b

A: The given matrix is 01b-10c-b-c0

Q: Select all statements below which are true for all invertible n x n matrices A and B DA. (A+ A-1)6 =…

A: A) Apply binomial theorem for LHS.…

Q: 1 Adjoin I on the right of A, then use row operations to find the inverse A of the given matrix A.…

A: Given that A=5011414101104151 Adjacent Matrix is  [A|I]=50114141011041511000010000100001

Q: use the following matrix                    D=   [5  3]         D=  [4   6]  write the negative…

A:

Q: Use Gauss-Jordan to find the inverse of the matrix A given by -3 0 0 2a b a A = 10 0 2 What are the…

A: Gauss Jordan’s Matrix Inversion method. In this method we shall find the inverse of a matrix…

Q: Determine which of the formulas hold for all invertible n x n matrices A and B OA. (A+ B)² = A² + B²…

A:

Q: For this exercise assume that the matrices are all nxn. The statement in this exercise is an…

A: Given that if the equation Ax=0 has only the trivial solution then A is row equivalent to the n×n…

Q: How would I write the following 2 functions in matrix notation? Q(h) = (h, 2h, 3h) F(x, y, z) =…

A: We have to write the function as matrix notation. The given function is Q(h) = (h, 2h, 3h) Clearly,…

Q: Find the matrix of the quadratic form. Assume x is in R3. a. 3x12 + 2 x22 – 5 x31 - 6x1x2 + 8x1x3 -…

A:

Q: Let A = [3 -6]  construct a 2x2 matrix B such that AB is the zero matrix. use two different non-zero…

A: