Prove: If A and B are n x n matrix and A is inventively, then det(A^-1 BA)= det(B)

Q: Choose three different non-zero digits from your student ID number. Using only these numbers as…

A: The solution of above question is written below.

Q: Please give me an example of Mathematical formulas of a 3 x 3 matrix of Hermitian matrix. Make sure…

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Q: Let Eki be the elementary matrix formed by subtractingα times the ith row of the identity matrixfrom…

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Q: Suppose that matrix A has dimension 5•3 and that matrix B has dimension 3•5. Decide whether product…

A: Given: The matrix A has dimension 5×3 and that matrix B has dimension 3×5. To Find: To decide…

Q: lues of a 4 x 4 matrix A are given by 2, 1,5, 4, the

A: We have to choose the correct answer from the given option according to the given condition

Q: Let A be a 5 × 8 matrix with rank equal to 5 and let b be any vector in R5. Explain why the system…

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Q: How to determine the solution set for a represented augmented matrix

A: Concept:

Q: Find two 2 × 2 singular matrices whose sum is nonsingular.

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Q: The maximum value of the determinant among all 2×2 real symmetric matrices with trace 16 is

A: But they cannot be both negative as a+d=16 And the value of ad is maximum  a=8, b=8 Therefore

Q: a) Form the product PD and interpret its entries. b) Prediction of this population distribution…

A: The population dynamic is represented as D=0.80.20.30.7 and the population matrix is P=0.50.5. a)…

Q: What does it mean that matrix A is orthonormal? What does it mean that matrix A is positive…

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Q: Using only 1, 2, and, 3 as coefficients, create a matrix of size 5x5 (with all coefficients…

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Q: To find the (3, 9) entry in a matrix product we compute the product of 3 of the first matrix with 9…

A: As we know that, Matrix multiplication indicates a row-by-column multiplication, where the entries…

Q: Define the term matrix equation.

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Q: Determine if the statement is true or false. If two matrices are equivalent, then one can be…

A: According to the definition, Two matrices are said to be equivalent if they can be transformed into…

Q: Find an LU-factorization of the matrix.

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Q: High order of tensor cannot be represented by matrix

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find 3 x 3 upper triangular matrix with determinant 1.

A: 3×3 upper triangular matrix

Q: Find an orthogonal matrix whose first row is (1/3,2/3,2/3)

A: The rows of an orthogonal matrix forms an orthonormal basis. Therefore, consider the extended basis,

Q: Can we use cofactor expansion in a 2x2 matrix?

A: Can we use cofactor expansion in a 2x2 matrix?

Q: a() – 4 (6) - (1) - (-) - Find a 2 x 2 matrix A such that A

A: We have to find a 2 × 2 matrix A such that A12=A23=41 Let the matrix A = abcd

Q: Let A be 3x5 matrix. Then AX=b has always infinitly many solutions.

A: Since not a particular question asked ,as per guidelines solution to first question is given below

Q: Could a rref matrix look like | 1 0 0 1 | | 0 1 0 1…

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Q: Compute the product. This exercise should be done two ways: by hand and by using technology where…

A: The product of two matrices is possible only when the number of column in first matrix  is equal to…

Q: If there is conformability what are the dimensions of the product matrix?

A: let's matrix A and matrix B has dimension as  m×n and n×p respectively then dimension of matrix…

Q: If A and B are nXn diagonalizable matrices, then A+B is also diagonalizable. True or False? Give an…

A: Given statement, If A and B are n×n diagonalizable matrices, then A+B is also diagonalizable.

Q: 423 matrix whose entrics ore 3. real numbers

A: Real matrix

Q: A nxn matrix that satisfies AT = A-! is called an orthegonal matrix. Find the cleterminant of Such a…

A: It is given that the matrix A satisfies the equation A-1=AT and we know that this condition is…

Q: How to make this matrix diagonally dominant?

A: A square matrix is said to be diagonally dominant if for every row of the matrix, the magnitude of…

Q: Two 2 x 2 invertible matrices can have a matrix sum that is not invertible.Determine whether the…

A: ''Two 2 x 2 invertible matrices can have a matrix sum that is not invertible''. We have to determine…

Q: describe how LU factorization of a nonsingular matrix B can be found using Doolittle’s method.

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Q: 6. What 2x 2 matrix rotates the plane clockwise by 90° while dilating it by a factor of 2?

A: We need to find such a 2×2 matrix which rotates the plane clockwise by 90° while dilating it by a…

Q: Let X and Y be symmetric matrices both size 15x15. Decide if Z = XT(X+Y) is a symmetric matrix too.…

A: Given, X & Y are symmetric matrices. So, XT = X and, YT = Y   Given, Z = XT(X+Y) So, ZT =…

Q: Let matrix A be 2 by 2 matrix and 1 A. 4 and 1 4 .2) 2 Then what is A=? ||

A: At first we will suppose a matrix A as 2x2 matrix and simplfy second condition by pre multiply by A…

Q: Write down the Invertible Matrix Theorem (yes, the whole thing!).

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Q: what is the Dim of a matrix, like if there is Matrix A, what is Dim(A)? Can i have example too?

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Q: 2. for the augmanted matrix

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Q: 4 For A= calculate A by using Adjoint Matrix Method. (Do not use any other method) 3 5

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Q: Using only these numbers ( 2,1,9 ) as coefficients, create a matrix of size 5x5 (with all…

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Q: find the given matrix is Identity matrix if not find determinant of the matrix without ing NumPy…

A: For Identity matrix, the diagonal element of the matrix should be 1 so its determinant always 1 and…

Q: Let A be 3x5 matrix. Then AX=b has always infinitly many solutions.

A: Let A be 3×5 matrix . The matrix equation is: AX = b; where A is the coefficient matrix, X is the…

Q: Find two 2 × 2 singular matrices whose sum is nonsin- gular.

A: We have to find two 2×2 singular matrices whose sum is non-singular. We know that when determinant…

Q: singular values and SVD of a n × 1 matrix

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Q: Construct a matrix with the required property or explain why this is impossible (a) Row space…

A: Given row space is, 4,7,5 and 2,3,-5 And the null space is, 2,1,3

Q: Find a 3 x 3 orthogonal matrix P whose first two rows are multiples of (а) (1,2,3) and (0, -2,3),…

A: To find the matrix

Q: USE A MATRIX-DETEN MINATE METHOD TU SOLUE ... **gy こ4 (SOLUE fOR fiRst) ナ

A: Given, So, we can write the given equation as, The co-efficient matrix of the given system is,

Q: Find two 2 × 2 nonsingular matrices whose sum is sin- gular.

A: From the given question,, To find the two 2 × 2 nonsingular matrices whose sum is singular.

Q: Solve 1 1 1 1 -)))-(-) using the inverse of a matrix.

A: This is a problem of linear transformation.

Q: Find out two examples for each types of matrices and write down it's order also

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