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Q: Given the matrix: 1 10 A = ^-(2) 3 17 Evaluate the following expression: (4² +4A +91) =

A:

Q: give an example of a matric whose inverse is the same matrix.

A: To find: an example of a matrix whose inverse is the same matrix.

Q: Define matrix notation and terminology?

A: Matrix notation and terminology.

Q: define: zero matrix

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Q: hat is a matrix

A: Matrix:

Q: A composite of matrices is said to be expanded if they are expressed as the sum or products of…

A:

Q: Is the produ ct elementary. matri ces dalways OF two an swer. elementary ? Sustify your

A: The product of elementary matrices need not be an elementary matrix. Recall that any invertible…

Q: A) find C= A.B for the following matrices 7 3] ;B B = 2 A = 24 3 1

A: To answer the given question we shall use the product rule of matrices. The given matrices are…

Q: AS A MATRIX: TV MOV textitGIRLS 17 20 BOYS 30 A True B False

A: We have to check whether the given table is converted into a matrix correctly.

Q: Define is subtraction of matrices commutative  and associative?

A: Consider three matrix A, B and C respectively.

Q: Solve by the fundamental matrix method, 3 r2(1)

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Q: 2 1 }], 3

A: LetWe have to find the inverse of the above matrix.We know that

Q: Construct the augmented matrix

A: We first write the given equations in standard form

Q: There are 12 "even" permutations of (1, 2, 3, 4), with an even number of exchanges. Two of them are…

A: Given two permutation are     (1,2,3,4) and (4,3,2,1)

Q: If the nulI snace of a 30x17 matrix is 13-dimensional, find the rank of the matrix.

A: We have been given the matrix which is of 30 x 17 i.e it has 30 rows and 17 columns. And it is also…

Q: To illustrate the multiplication of matrices, and also the fact that matrix multiplication is not…

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Q: What is the algorithm for solving algebraic matrices?

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Q: For each of the matrices below, determine whether it is RREF. • If yes, copy the matrix on the…

A: A matrix is in RREF if it meets all of the following conditions: If there is a row where every…

Q: Describe matrices that cannot be added or subtracted.

A: matrices can be added or subtracted when they had the same number of rows and the same number of…

Q: Describe The Exponential of a Matrix.

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Q: Suppose matrix A is 6×8. Describe (using appropriate terminology) how you would determine whether…

A: It is given that, the order of the given matrix A is 6*8.

Q: Prove that the multiplication of two nxn square matrices is O(n^3).

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Q: Define Matrix Inverse?

A: The inverse of matrix A with order 2×2 can be obtained by elementary row operation on a new matrix…

Q: Direction: Solve the following items. Box your final answer. Attach your Excel file and the pdf copy…

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Q: What is the term matrices

A: Matrices :- A matrix is an ordered rectangular array of numbers or functions. The numbers or…

Q: Define Similar Matrices.

A: Similar Matrices: Let A and B are two square matrices, then A is said to be similar to B if there…

Q: (a) Show that a matrix with two rows and two columns that is in reduced row-echelon form must have…

A: A matrix is in reduced row-echelon form (RREF) if it satisfies the following conditions:Each leading…

Q: Please compute the next matrix

A: The solution is provided for A. We shall solve B and C.

Q: State True or False: The matrix multiplication is distributive over matrix addition. True False

A: Topic = Matrices TRUE

Q: Define Matrix Notation.

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Q: If a 6 x 6 matrix contains 19 zeros, show that there are 4 zeros which are all in distinct rows and…

A: A 6x6 matrix has 36 entries. Given if a 6x6 matrix contains 19 zeros, then to show that there are 4…

Q: n layman's term describe how LU factorization of a nonsingular matrix B can be found using…

A: Doolittle Algorithm: It is always possible to factor a square matrix into a lower triangular matrix…