This is a linear algebra problem pretaining to matrix. Please find the cofactor C11(A), C12(A), C13(A), and C14(A) for matrix A.

Q: 3: For the matrices, A = [1 and B = 01 -31 (a). Show that, (A+ B)" AT +B". (b), Show that, (AB)-1 =…

A: Show that  a) (A+B)T= AT +BT  b) (AB)-1= B-1A-1  For the matrix A and B .

Q: a) Find the matrix of the quadratic form. Assume x is in R3 5x3-x3 +7x3-5x1x2 -3x1x3

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Q: Explain the fact “Cofactors are useful when matrices have many zeros”.

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Q: 2. Assume that all the operations are properly defined, solve the following equation for the unknown…

A: NOTE: Refresh your page if you can't see any equations. .

Q: If A is a 3x3 matrix and det(A) = 7, what is det(2A)?

A: Solution :-  Given : A is a 3×3 matrix               And det(A) =7

Q: -1 find its inverse A¬'. Check that your inverse is actual in 2 For a matrix A = -3 Ichow vour work…

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Q: [3] 37 Let A = Write 2A. Is det(2A) equal to 2det(A)?

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Q: Express the quadratic form (c₁x₁ + C₂X₂ + ... + Сnn)² in the matrix notation TA, where A is…

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Q: We call g(x1, x₂) = ax² + 2bx1x2 + cx a quadratic form, a, b, c are constants. Suppose X1 X = try to…

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Q: Table Q4(b) is generated from the function f(x)=e* – 4x² + B , where B is the last two digits of…

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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: () Write the statement of Cayley-Hamilton theorem for square matrices.

A: Cayley-Hamilton statement

Q: 2 =(², 2). (a) Find the inverse of the matrix A = (b) Find the direct product of the matrices A = =…

A: (a) The given matrix is A=21-12 (b) The given matrices are A=1302, B=12-12 (c) The given matrix is…

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

A: Explanation is given below..

Q: 12 (b) Given D = 2, decode the following message: Message: -1, 4, 30, -41, 39, -58, 22, -33, 31,…

A: Given: The given matrix is D=2-3-12. To find: b) We have to decode the following message: Message:…

Q: Compute the adjugate of the following matrix: -7 3 -6 0 0 0 0 0 0 0 0 0 adj -7 0 -2 %3D | 2 -8 4

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Q: Let A and B be n x n invertible matrices. Use matrix algebra to simplify A(A¯¹ + B¯¹)B.

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Q: (b) Table Q4(b) is generated from the function ƒ(x)= e* - 4x² + B , where B is the last two digits…

A: Given: fx=ex-4x2+B To find: f'1.5

Q: How do you know whether a matrix is invertible?

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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: 1 1 1 121 N 3.

A: To Find the inverse of the matrix

Q: Determine the real number values of the constant a with which the matrix A= (14 a1)  is positive…

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Q: ind the 3x3 matrix that is equivalent in it's action to each of the

A: Given: To find 3×3 matrix that  equivalent to the symmetry operators are, a  S^2zb  C^2z

Q: Can you please help with finding an inverse of an elementary matrices?

A: An elementary matrix is a kind of matrices that differ from the identity matrix from a single…

Q: Find the inverse of the matrix if it exists, A= 2 4 1 -1 1 -1 1 4 0

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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: he matrix is Α = et result hitting · 230 1 -1 3 401 -1 Α Α ΑΑ

A: Topic:- matrix algebra

Q: Find the power of A for the matrixA16

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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,…