If A and B are 3 x 3 matrices, det(A) = 3, det(B) = -6, then det(AB) = det(2A) = %3D det(A") = det(B) = det(B?) =

Q: Find a 2x2 matrix X that satisfies the matrix equation 45 X + 4 6 3 4 X. 1 2 23 x-[] -3 3 X= -1 3 A…

A: Given- 4545x+1023=3412x To Find- 2×2 matrix x such that it satisfies the above condition.

Q: Suppose the trace of a matrix is equal to 10. If this matrix is also an identity matrix, how many…

A:

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: The multiplication of two non-zero matrices could be a zero matrix. O True False

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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 X is an unknown matrix And A and B are known : [A]×[x]=[B]_ 5x5 5×1 [x] = ?

A: Given matrix A is of order 5×5 and matrix B of order 5×1 and A5×5×x=B5×1 We have to find the matrix…

Q: Suppose A is 17x17 matrix with A^29=0 Then A^17=0.

A: Here given that A is 17×17 matrix and A29=0.

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: Given a 2 by 2 matrix, how do i show that it is a linear combination of unitary matrices

A: See the attachment

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: A, B, C are 3 x 3 matrices with det(A) = -3, det(B) = -2, det(C) = 6. What is det(A² BC-1)?

A: Given A, B and C are 3×3 matrices. and A=-3,B=-2,C=6 Find the determinant of A2BC-1.

Q: If A is 5x4 matrix, and rank(A) = 1, then its nullity is 3.

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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: 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: 3. If A, B and C are matrices with orders, 3 X 3, 2 X 3 and 4 X 2, respectively, which of the…

A: Note: There are many subparts in the question. So I will answer the first three subparts.…

Q: If A = [1 2 3], which type of the given matrix A ?

A: Given Matrix A=[1  2  3 ]1×3  Here number of row=1  Number of columns=3

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: If A and B are square matrices of the same size, then it is always the case that AB=BA.

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

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: An outbreak of Chicken Pox hit the local public schools. Approximately 15% of the male and female…

A: To find out the number of healthy males we have to compute= number of junior males×percentage +…

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: Find the matrix "x" that satisfy the equation 5 -1 0 - 4x = 4 4 -2 -5 5 -26 - 2 6 0 2

A: Subtraction of two matrices: abcd-efgh=a-eb-fc-gd-h Subtraction of two matrices is defined only if…

Q: If |A |= 4 and A is an 3x 3 matrix. What is | 3B?A² | ? B is a matrix resulted by multiply the…

A: Solution : Given that A = 4 and A is 3×3 matrix.                  We need to find 3B2A-2       Also…

Q: If A is a 2 × 3 matrix, and B is a 3 × 4 matrix, how many columns does AB have?

A: Given that  If A is a 2 × 3 matrix, and B is a 3 × 4 matrix To find how many columns does AB have

Q: Find the inverse of the given 3x3 matrix. By Gaussian elimination. -1] 0 1 1 -2 1 -1 0. 1.

A: We have to find the inverse of the matrix  12-1-2011-10  by Gaussian elimination.

Q: The sum of two skew-symmetric matrices is symmetric. Select one: True False

A: Solution in step 2

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

A:

Q: if A is a 3x3 matrix and det(3A^-1)=9, then det(A) is

A:

Q: If AB is a 4 x 2 matrix and B is a 1 × 2 matrix, then the size of matrix A is

A: We can multiply two matrices only when the number of column in the first matrix must be equal to…

Q: If a square matrix has a row that is a multiple of another row, then it is singular. True or False

A: Answer is true

Q: If D is an n × n diagonal matrix, how do the valuesof ||D||1, ||D||2, and ||D||∞ compare? Explain…

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Q: For skew anti-symmetric matrix, the sum of its entries is (A 1 В -5 10 E -1

A: We want to find sum of entries of skew anti-symmetric matrix.

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: What is BA if 3 Matrix A = 0 -4 -2 5 -1 6 2 -1] [2 and Matrix B= 3 [1 -1 -5 4 0 2 -2]

A:

Q: If A, B, and C are n x n invertible matrices, does the equation C-1(A + X)B¬ = In have a solution,…

A: Given A, B and C are n×n invertible matrices.

Q: Could a 4 x 7 matrix have dim Col A​=5 and dim Nul A​ = 2?  Justify your answer

A:

Q: 3. Suppose A is an m x n matrix whose rows are all identical and B is an n x p matrix whose columns…

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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: you have the matrix 30 1 A = |-1 2 0 3 1 2 Very specific inverted?

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

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Q: The maximum number of linearly independent 7x2 matrices is 07 6. O 2 O 1 O 14

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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.

Q: Consider matrix A. -3 52 A= 8. -1 3 What matrix results from -8-A?

A: Given that: A=-3528-13