Let A be an Xn matrix satisfying A-34 +I= 0 where 0 is the nXn zero matrix. Then A = A² - 31, A= = 31,– A² equal to the above equal to the above

Q: Let A =  -2 1     0 3     and    B =  2 -3     1 −2. Find a matrix X satisfying the matrix…

A: The given matrices, A=-2103 and B=2-31-2 We have to find the matrix X, that satisfies 2A+X=3B

Q: Demonstrate that A A-1 = A-1 A = I

A:

Q: and the SUD of the following am A= 11 94040 220

A:

Q: Show that the matrix equation has no solution.

A:

Q: let Q(x)= x12 -8x1x2 -5x22 , then matrix A of the quadratic from is A=?

A: Explanation is given below..

Q: Find a 2 x 2 matrix such that 3 -2 -2 = 61

A:

Q: -3 -1 Find all a so that the matrix A = 1 -1 is positive -1 4

A: Matrix A is position if and only if all of the leading principal minors are positive.    Then follow…

Q: Find ∣A−1∣ for the matrix

A:

Q: Suppose we are given A E Mmxn(C). How do the singular values of A relate to those of its adjoint, A*…

A: Please check step 2 for the solution.!

Q: Given A = 1 0 0 -3 1 1 1 - 2 -1 " x = and b = 300 150 400

A: Given that the system Ax=bHere A=1-3101-201-1 , b=300150400

Q: ค" ? o - 3 A = %3D 2 -2 -13 %3D

A: We will solve this question using gauss Jordan method.

Q: Solve A x A T matrix: A = -2  1  -1 3   -3   2

A:

Q: ebra to show that for n x n matrices A,B,C and n x 1 vector rtible and ABC then the matrix equation…

A:

Q: Determine all the n × n− matrix A with the range such that A2 = A.

A: Clearly the zero matrix and identity matrix are the trivial examples of our problems. However there…

Q: Let A and B be square matrices of order 3 such that |A-| = x + 7 with x + -7 and |A * A" | = . What…

A: A and B are square matrices. Therefore, det(AB)=det(A).det(B) det(A)=det((A)T) We will use these…

Q: Find a non-zero 2 x 2 matrix such that -5-2 6 15 -[88]- =

A: We have to find a non zero matrix such that the given rfelation satisfies.

Q: Let A be a 2 × 2 real matrix. Determine conditions on the entries of A so that A2 = I2.

A: Given: Let A be a 2 x 2 real matrix.   To determine: The conditions on the entries of A so that A2 =…

Q: 1 3 Find a QR factorization of the matrix A = 1 4 0 2

A:

Q: Let I be the 2 x 2 identity matrix. What is det (-41)?

A: The given data is:  I be the 2×2 identity matrix  To find det-4I Given:  I be the 2×2 I=1001

Q: Explain why det (BPB¯¹) = det(P) for any matrices P and B. Assume both sides of the equation are…

A:

Q: Let A be 3x3 matrix where det(-A) = 2 2007 let B =030 Then det(A BAB) = L004 Answer:

A: Properties of determinant: det(-A)=-det(A)det(A-1)=1det(A)det(AB)=det(A)·det(B)det(An)=(det(A))n If…

Q: Let A be the 3×3 matrix of zeros. Describe all solutions to Ax​=0.

A:

Q: Show that the matrix TR2 is the inverse matrix of (R-1)²T-1.

A: