If A and B are 2 x 2 matrices, det(A) = -2, det (B) = –5, then det(AB) = det(-3A) = det (AT) = det (B ') = det (B) =

Q: If A and B are sk ew-symmetric 2 X 2 matrices, under what conditions is AB skew-symmetric?

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Q: If the matrix A is of order 2x4, then the rank of A is: Select one: O a. Greater than 4. O b. Less…

A: 1. If the matrix is of order 2×4, then the rank of A2. consider the vector space V with dimension=n,…

Q: Give an example of a 4 x 4 matrix that is symmetric, has with the (2,4)-entry equal to -5, and has…

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Q: If the order of the matrix A is (3 x 5) and Bis (5 x 6) then the order of the matrix (A - B) will be

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Q: If A is a 5 x 6 matrix and the sum A + B can be computed, what is the size of B?

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Q: The product of these matrices would be a 2 x 2 matrix, where the rows represent the and the columns…

A: Multiplication of matrices: Matrix multiplication, often known as matrices multiplication, is a…

Q: The matrix is not invertible for what value of x 2 1] 3 2 1 1 2

A: The matrix is not invertible the determinant of matrix should be zero.

Q: find an LU factorization of the given matrix.

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Q: How can the position in a matrix (i=1,j=1) be started?

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Q: why is the matrix like that?

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Q: Due to what property, applied to the matrices below, do we know that A + B = B + A?

A: Due to Commutative Property Of Addition of matrices, we can say that: A+B=B+A. Where, A,B,C are…

Q: 2. Analyze first the given matrix and identify the most appropriate tool to use and why. -1 2 4 3 2…

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Q: |a b X y m nl

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

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Q: Some ecologists divided a female bird population into three categories: juvenile (up to 1 yr old),…

A: Here we have to use matrix multiplication to find number of birds of each category

Q: A matrix that is not square can still have an inverse.

A: Inverse of a matrix.

Q: If A and B are matrices 3 x 3 order with 12A| = -1 and |2B³| = 16, then calculate |A-1B"|.

A: Here, A and B both are of the order 3×3. So, A-1 and BT are of the order 3×3. Now, from the…

Q: 3. Give an example of two 2 × 2 matrices A and B for which (AB)² # A²B².

A: To prove above equation with an example

Q: What does it mean to say that A is a matrix with dimension m x n?

A: Our Aim is to tell that what is meant by a matrix A which is havingdimension m×n.

Q: For any two 3 x 3 matrices A and B, we have (А + B)(А — В) — А? — АВ + ВА - В?

A: Given statement: For any two 3×3 matrices A and B, we have

Q: 2 -3 For matrix A = -2A? will be %3D -1 4

A: See the attachment.

Q: If A is a 31x24 matrix whose rank equals 10, find dim(Nul(AT)). Your Answer:

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Q: Solve for the value of x2 in the system of equations having the augmented matrix below. 3 -2 1 0] 2…

A: To find the value of x2 using the given augmented matrix.

Q: Suppose that A is a 4 x 4 matrix with det(A) = 5. Then + (24–1) - [2 Enter your answer exactly, as a…

A: We have to find determinant

Q: What is the difference of matrices M=(-1,0,2)(0,-3,1) and N=(0,1,2)(0,0,-3)?

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Q: Formulate the method for adding partitioned matrices, and verify your method by partitioning the…

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Q: Consider matrix A. -3 5 2 A = 8 -1 3 What matrix results from -8·A?

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Q: If matrix A is of order 3x1 and matrix B is of order 4x3, then the order of matrix BA is 4x1 O 1x4…

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Q: If the matrix A is of order 2x4, then the rank of A is: Select one: O a. Less or equals 2. O b.…

A: The solution is given as

Q: What is trace of matrix (2A+3B)

A: Find the trace of the matrix(2A+3B)

Q: If A and B are row-equivalent matrices, then they must have the same rank. True False

A: Our guidelines for multiple questions, answer only first question  Answer = (8)  If matrices "A"…

Q: Suppose A is invertible and you exchange its first two rows to reach B. Is the new matrix B…

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Q: If B arises from a matrix A by elementary row operations, what is the relationship between NS(A) and…

A: Given matrix B arises from a matrix A by elementary row operation. We have to find the relationship…

Q: What is the term matrices

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

Q: If A is an invertible square matrix that is row equivalent to matrix B , then both A and B are row…

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Q: If A = 1 y and the transpose of the matrix is equal to the inverse of the matrix then y =

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Q: If A is 3 x 2 matrix and B is 2 x 3 matrix, then AB is always: a. Invertible matrix b. singular…

A: We know that rank ofAB is always less then or equal to min{rank(A), rank(B) }

Q: In a certain region, about 7% of a city's population moves to the surrounding suburbs each year, and…

A: Given: In a certain region, about 7% of a city's population moves to the surrounding suburbs each…

Q: Find a family of the matrices that is similar to the matrix -2] 寸 -3 4-

A: Since, you have posted multiple questions but according to guidelines we will solve first question…

Q: 3 - 3 1 /- 1

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Q: Find 2x2 matrices, A and B, such that AB = 0, but BA is NOT EQUAL to 0.

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Q: . We can add (or subtract) two matrices only if they have thesame .

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Q: Find 4x4 nilpotent matrices of indices 2, 3,  and 4

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Q: I do not understand Matrices and the Gauss Jordan method of elimination. Is there an easy way to…

A: Guass jordan method of elimination is used to solve the system of equations. By writing the system…

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

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Q: If A is a 6×1 matrix and the sum A+B can be computed, what is the size of B?

A: Matrix addition. If A and B are matrices of the same size, then they can be added. (This is similar…

Q: Some ecologists divided a female bird population into three categories: juvenile (up to 1 yr old),…

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Q: The inverse of a matrix can only be found for matrices of dimensions n x n.

A: This question can be solved by applying the concept of inverse of a matrix.