(2a, Let A be a 3 x 3 matrix b b a A = %3D a a a a a Show that A is invertible if a +0 and a + b. (2b, Let C be a 3x 3 matrix 2. %3D 8.

Q: Matrix  A = a11 a12 a21 a22 a31 a32 B =  b1 b2 C = c1 c2 c3     Find C*A. Find C*B.

A: The product of matrices is given as follows

Q: Suppose that  |A| + |B| = |A + B| , find a 2x2 matrix for A and B

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Q: a 6 8 A = a -4 6 4 -2

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Q: |adjA| = |A]"=1 n-1

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Q: Evaluate det (A) for the matrix A=($ 2).

A: Given matrix is A=8254 The task is to find the inverse of the given matrix.

Q: om: A is a matrix such that A2 + 5A 10. Show that A is invertible and A-1 = A + 51.

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Q: * ( For the matrix shown find (- 3 A 3 - 1 4 1 A = %3D 1 1 6.

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Q: Find a 2 x 2 matrix B so that B2 = A, where

A: Given matrix A=-7-16817 To find matrix B such that B2=A.

Q: Find the size of the matrix 0.

A: Count the number of rows and columns

Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

Q: Here A represents a 2 x 2 matrix

A: Given : A is a 2×2 matrix and A has the repeated eigen value λ with two linearly independent eigen…

Q: Find the trace of the matrix 3 A 2 -2 tr(A)

A: The given matrix is A=-332-2. Find the trace of the matrix A as follows.

Q: Select the correct answer below:   A)The slope of the tangent line at x=0 is −3.   B) The…

A: In the graph we see that x=0  is very close to the local minimum. Let the local minimum occurs at…

Q: Give a matrix A and vector b so that Ax = b has no solution, but Ax = b has many least squares…

A: For first part consider an example which is following :Here  has no solution, but  has many least…

Q: Choose the correct:  If A is square matrix such that              A2= A, then (I + A)³ – 7 A is…

A: Given that, A is a square matrix

Q: Write the 2X2 matrix associated to a reflection about the x axis.

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Q: Find the transpose of the matrix.

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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: Find the matrix B such that 2AT+3B=0.

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Q: Hi I was looking for this to be expressed as a symmetric matrix

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Q: Give an example example of a 3x5 matrix in BREF where RX=0 has unique solution.

A: The aim is to find an example of  matrix in RREF where  has a unique solution.

Q: Write an augmented matrix for the follo 6x - 5y +z = -9 8x - 7y +z = 7 9y-2z = - 2 %3D %3D

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Q: Let A be a 4x4 matrix and det(A)=2. Find det(2A-)'

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Q: Let A be a 3x3 matrix where A2=I3, then det(A) is 1 or -1. Select one: 1-True 2-False

A: To find- Let A be a 3×3 matrix where A2 = I3, then detA is 1 or -1. True False

Q: [3 1 21 2 4 -1 6 0 2 -3 0 -1 0 3 A =

A: The element in the first row, second column of the matrix A is 0. So, we have to find the cofactor…