A. Determine whether A is unitary, if yes find the inverse

Q: Show that B is the inverse of A. 2 A = 1 1 %3D -1 -1 -1 -2 AB = %3D %3D %3D BA %3D

A:

Q: Use Gauss-Jordan method to calculate the inverse of A A-l = |1 0 -1 A =| 0 1 1 1 1 1

A: By Gauss Jordan Elimination method the inverse of matrix is given as follows :

Q: Express each of the following in the form a + bi.

A:

Q: A=[1  -1   -2]      [-4   3    4]      [1   -1   -1] Find the inverse of the following elementary…

A:

Q: Q4. Determine whether A is unitary, if yes find the inverse [1+i 1-i] 2 A = i 1+i 2 2.

A:

Q: (b) 1 = -4 - 4- 2.

A: Given that

Q: through constructors. Calculate cSum =cl+ c2 and cCon= conjugate of cSum

A: c1 =5+3j  c2 =2+4j csum= c1+c2         =  5+3j+2+4j          = 7+7j

Q: If all the cofactors are zero, how do you know that A has no inverse? If none of the cofactors are…

A:

Q: all values of b such that B is has no inverse.

A:

Q: Find the Jacobian of the transformation x = 5и + 6v, у — и? + 7u

A:

Q: Find P and D such that P is invertible, D is diagonal and D= P'AP, for 2 -2 3 0 3 -2 0 -1 A=

A:

Q: The dual of the spectral norm is given by || A||2 = 0₁ + ··· + 0₂,

A:

Q: D = P-'AP is the Jordan canonical form of A.

A:

Q: Let * be the operation on the cartersian product of real numbers R *R such that (a,x) * (b,y) =…

A: Given that, let * be the operation on the cartesian product of real numbers R*R  such that (a, x) *…

Q: Suppose I + AB is invertible. Show that I + BA is also invertible by showing that (I + BA)¯ = I –…

A: Assume that I+AB is invertible.  Then, I+ABI+AB-1=I ⋯ 1. Use equation (1) and calculate…

Q: Find all value(s) of a for which the inverse of;exists. What is A−1?

A: Given: A=11010012a

Q: Define the binary operator © by: ab=a²+b+8 Find each of the following: a. 209- = b. 606- c. 902= d.…

A:

Q: Prove that the calculate inverse is correct by using the formula I = A(A^(−1))

A:

Q: Prove that if A is invertible and AB = O, then B = O.

A: To prove that if A is invertible and AB=0, then B=0.

Q: If x = -bcost and y =-acost, then %3D %3D da O a. a/b O b. -a/b O c. b/a O d. -b/a O e. None

A:

Q: Use the adjoint of to find A−1.

A:

Q: If A is diagonalizable, then A is similar to D. Select one: O True O False

A: Given   if matrix a is diagonalizable then A is SIMILAR  to D

Q: Use the transformation u=-2.= 3y and =z to evaluate (5- Sy) de dzdy.

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: The inverse of the following Elementary Matrice

A: Follow the procedure given below.

Q: Define the binary operator  ⊗⊗ by:     a⊗b=a2+b+5a⊗b=a2+b+5  Find each of the following:…

A: Given binary operation is  a⊗b=a2+b+5

Q: 6/6 Find the inverse of the turuTION. f (x) = (x - 8) + 4 %3D | SMitch x and y:

A:

Q: If A is singular, what can you say about the product A adj A?

A: For any given matrix A, A (adj (A) ) = det (A) I where I is the identity matrix.

Q: 3 2 1 2] 1 1 0 2 0 3 1 1 Compute the inverse of A = by finding adj(A). %3D 1 0 0 1]

A:

Q: .Prove that la + b + c| < |a] + |b| + ]c]

A:

Q: [1 Which of the following values of a will make 2 Lo 2 2 a non-invertible? (А) 1

A:

Q: Define the binary operator by: ab=a² + b² Find each of the following: a. 203- = b. 404- c. 32 d. hod…

A:

Q: QUESTION 6 Show that U(14) and U(18) are isomorphic..

A: We have to show that the group U(14) and U(18) are isomorphic.

Q: Determine whether A is unitary, if yes find the inverse [1+i 1-i] 2 2 1-i 1+i A = 2

A:

Q: Determine whether A is unitary, if yes find the inverse 1-і i 1+i 2 2 A = 1+i 1-i 2

A: A matrix is said to be unitary if the conjugate transpose of the given matrix is equal to the…

Q: Show that if A and B are similar, then AT and BT are similar.

A: Let A and B are similar matrices. By definition of the similar matrices.  The matric A and B are…

Q: Let A = -1 0 and P 1 -1 1 | Given that P diagonalizes A, then compute each of the following powers…

A: We are asked to find the given matrix.

Q: 11. Assume that the stated inverses exist, prove (I+ A-B-)-A-1 = A-(I+B-1A-1)-1

A: We will use the properties of matrix multiplication to prove the given equality.

Q: Suppose A and B are invertible then det(A) = det(B) %3D O True O False

A: Consider A and B are invertible

Q: Define the binary operator ★ by: a+b= a +8b Find each of the following: a. 2*5 = b. 4*4= C. c. 5 + 2…

A: Binary operation:  Binary operation * on a set S is an operation, when applied to any element x and…

Q: Let V₁ = {ax² + bx+c|a, b, c € R, a < c} with standard operations. V₁ fails the following axioms…

A: This question related to ring theory.

Q: Find the fnckion below the inverse of %3D

A: given function is                                                      y=x2+4 we have to find…

Q: Let x=1149, power=913 and m=2537. For, a, = find x and power. %3D 1149 and 1433 913 and 1433 1149…

A: 1149 and 913

Q: Prove that if A is invertible and AB=0, then B=0.

A: Given:

Q: Suppose A= where A is not diagonalizable and trace of A is equal to 2. Then Oa a-125 Oba,-4 Od og -…

A:

Q: Find the inverse of each of the following bijections. а) и: Q — Q, u(x) = 3x – 2. - v(x) = . b) v: Q…

A: