(A8)", (^)*, * (21)*". Use the inverse matrices to find and 1 3 1 4 2. 4 2 A-1 = 1 1 B-1 2 4 2 4 3 1 -2 2 2 4 4 2. -1 АВ (a) (b) -1 (e) (24)

Q: elementary

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Q: Explain why two similar matrices have the same rank.

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Q: Find inverse of matrix 1  2  3 0  4  5 0  0  6 Using augmented matrix  Show work

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Q: Determine whether the statement, 'Two 2 X 2 invertible matrices can have a matrix sum that is not…

A: Statement: "Two 2 X 2 invertible matrices can have a matrix sum that is not invertible" The above…

Q: Define Positive Definite Matrices.

A:

Q: Show that the inverse matrix of an upper (or lower) triangular matrix is ​​also triangular top (or…

A: prove is given below...

Q: Determine the diagonal matrix. 1 -3 -2 0 0 0 4 (1 3 5)

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Q: Under which conditions an inverse matrix be defined for a matrix?

A: There are two conditions for matrix to be invertible.

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

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Q: Find a sequence of elementary matrices whose product is the given nonsingular matrix.

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Q: Find a sequence of elementary matrices whose product is the nonsingular matrix

A: Consider the given nonsingular matrix: Here the objective is to find the elementary matrix whose…

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: Determine which of the matrices in are orthogo-nal. If orthogonal, find the inverse. -4/5 3/5 3/5…

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Q: Write down 5 distinct square matrices of order 2*2 and 3*3 and find out its determinant

A: There is no specific formula , please go through the solution.

Q: Find a sequence of elementary matrices whose product is the given nonsingular matrix.

A:

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: The product of two invertible matrices is always non-zero. Select one: OTrue

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Q: Suppose A is a 4 × 4 coefficient matrix If possible, find the entries of a matrix T that perform the…

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Q: Explain how to find the multiplicative inverse for a 2 * 2 invertible matrix.

A: To find the multiplicative inverse of 2*2 invertible matrix.

Q: Find the inverse of the matrix 1 2 3 0 4 5 0 0 6  Using an augmented matrix

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Q: Determine which of the matrices in are orthogo-nal. If orthogonal, find the inverse. 2/3 1/3 -2/3…

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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: The vector -201 3 is a linear combination of the vectors 10 5 -3 and -9 if and only if the matrix…

A: Answer is in next step.

Q: Let matrices A,B,C store factory value of 3 items for the last 20 years, and D,E,F store sale value…

A: Given that, matrices A,B,C store factory value of 3 items for the last 20 years and D,E,F store sale…

Q: Find inverse matrix using Gauss - Jordan Method if available 1 -2 4 0 8 -3 -4] A = 2 -1 ||

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Q: Prove that the product of two upper triangular matrices is always another upper triangular matrix.

A: We have to prove that the product of two upper triangular matrices is always another upper…

Q: Find a family of the matrices that is similar to the matrix

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Q: Determine which of the matrices in are orthogo-nal. If orthogonal, find the inverse. 2/3 1/3] 1/3…

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Q: 3 - 3 1 /- 1

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Q: show that the inverse of arotation matrix is transpose,which is also arotation matrix, and it is…

A:

Q: Find the greatest value of A that make the matrix 2 – 9 – A - A singular. – 6 -2 – X.

A:

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

A:

Q: Find the number of 3x4 matrices in row echelon form, with entires from F = Z/2Z

A: To find the number of 3x4 matrices in row echelon form, with entries from F = Z/2Z.

Q: Suppose A is a 2 × 2 matrix which rotates every vector clockwise by 45degrees . Geometrically, what…

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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: Prove that if A and B are square matrices and AB is invertible, then both A and B are invertible.…

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Q: Suppose A is a 4 × 4 coefficient matrix If possible, find the entries of a matrix T that perform the…

A: Given that A is a 4×4 co-efficient matrix.We have to find T (matrix), whereA→(3R4+R4)AT, which means…

Q: True or false: Matrices of different orders can be added._________

A: Two matrices may be added or subtracted only if they have the same orders or dimension that is, they…

Q: Describe when the multiplication of two matrices is not defined.

A: Given, multiplication of two matrices

Q: V3 Express 1 as a product of elementary matrices.

A: Solve by matrices

Q: What is the procedure for obtaining the inverse of a matrix?

A: Given:    Procedure of Inverse Matrix

Q: 4- Determine the rank of the fcllov-ing matrices [1 2 8] 7 6 ii- A=|1 2 3 5 3. 13 4 3? i- A = |4…

A: for a 3*3 matrix if determinant is not equal to zero then rank is 3  if it is zero then we calculate…

Q: Define Sub-matrices?

A: A matrix obtained by deleting some of the rows and/or columns of a matrix is said to be a sub-matrix…

Q: How did they get the numbers in front of the matrices such as (-1), (-2), (6) and so forth?

A:

Q: what does it mean for two matrices to be similar? If A and B are similar, list all properties that…

A: The linear algebra is used for solving system of linear equations. The matrices can be formed by…

Q: Find the inverse of the elementary matrix.

A: Given matrix, A=0110

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: Compute Inverse of the Matrix -2 5 2 1 -3 -1 -1 2 1

A: To determine A^(-1) , with A , the given matrix

Q: Supposed someone tried to solve the following system of equations (presented in the attactched…

A: A machine of linear equations (additionally called a linear machine) is a set of 1 or greater linear…