If A is a 4x4 order matrix and det(A) = -1, then the value of det(3A) is Select one: O a. -81 O b. 81 O c. -3 O d. None of the other choices.

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: If A is an 3× 4 matrix and the nullity of A equals 2, find the rank of A .

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Q: If A is n x n matrix where |A| = 5 and |2A| = 80 then %3D a. n=3 b. n=2 C. n=4

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Q: If A is a 3x3 matrix and det(A) = 7, what is det(2A)?

A: Solution :-  Given : A is a 3×3 matrix               And det(A) =7

Q: For matrix A = [8 -19 16], AAT is

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Q: For matrix A, (A^3) = 1, A^(-1) is equals to: * A^2

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Q: Find the matrix A (in terms of B and C ) if (ЗАТ + 4СТВ)Т3 5A - 4B

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Q: B- Find the matrix A :- 3. A + -5 4 1. -1 3.

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Q: The rank of the matrix a = b = c is: 1 a b a² 6² 1 1 C where

A: Given :          matrix =[111abca2b2c2]Also given :  a=b≠c

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: Write the augmerted matrix of the following system of equations. 8x + 4y + 9 = 0 -x + 8y - 6 = 0…

A: Given system of equation is  8x+4y+9=0 -x+8y-6=0

Q: 3 0 A =|-3 7] 1 -1 2 4 91

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Q: How do I find the coefficient matrix of the following system? What is the the coefficent maxtrix of…

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Q: Q1: Given that A = [3 -3 -5] and B = 5,what is the matrix A- BT?

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Q: 6. If A is a 4 x 2 matrix and B is a 3 x 2 matrix, what is the size of ABT?

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Q: Q1 (d): Find the rank of the matrix A. 1 0 5 0 1 -2 2 -2 -1 1 -6 3 -2 12 2 -3 0 2

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Q: If A-1 =
2 71 3, what is the matrix A?

A: Its given that: We need to find the original matrix A.

Q: If A is an nxn matrix and B is obtained from A by performing the following elementary row operations…

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Q: If A is a 3 x3 matrix and det(A) =-3, what is det(4A)?

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Q: If a matrix A is 6x7 and the product AB is 6×5, what is the size of B? The size of B is

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Q: Find the transpose of the matrix. 4 5. D = -2 -1 -3

A: The transpose of a matrix can be  found by interchanging its rows into columns or columns into rows.…

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: Reduce the matrix to echelon form and find its rank -1 -3 3 -1 1 1 -1 -5 -3 -1 1 0 1 2.

A: Consider the given matrix, -1-33-111-102-52-3-1101 use the following elementary row operations to…

Q: What value of x satisfies the matrix equation 7r + 14] ? 3x – 2 [x+8

A: By comparing the entries of matrix it can be solved

Q: If A is an m x 5 matrix, B is a 6 × q matrix, C is an m × q matrix, and 8A + B - 1/2C is a  6 x 5…

A: Topic:- matrix algebra

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: Consider the system of equations: -2x + z = -4 -x + 2y + z = -50 5x -y +z = -26 with the…

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Q: A B А - R B Matrix becomes C D с D-R

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Q: Suppose that A is a 9 × 7 matrix. If A = 0 has only the trivial solution, what is the rank of A? The…

A: Given  Ax→=0→ has only trivial solution, where A is matrix of order 9×7.

Q: Let A = X= 5 -7 -3 -5 and B = 7 5 2-3 7-6 -7 -4 Solve the matrix equation 3X + 3A = B for X. (Type…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: How can you figure out the matrix A, in terms of B, C, and D, if: (8CA−1D ) −1 = B

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Q: If A = B x C, find the matrix A. B [ 1 -3 -2 201 C ·[ 2 -2 3 1 -1 0

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Q: If A is an n X n matrix and b is n × 1 matrix, then the cost for A²b is Select one: О а. 2n3 + п? —п…

A: We have to find cost of given matrix:

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: Find the rank of the following matrix. -1 3D1 0. 3. 4 2 1 4 |

A: given matrix is -1-100002340-213-104find the rank of the matrix

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 = 1 y and the transpose of the matrix is equal to the inverse of the matrix then y =

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Q: Find the transpose of the matrix. -2 -1 D = 1 4 -3

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Q: Find the rank of the matrix -1 3 A = -2 -3 0 1 2 3 -2

A: The rank of a matrix is the number of non-zero rows in the row echelon form of the matrix. We need…

Q: An identity matrix is represented by... О а. Нн-1 O b. H-1H О с. Нн-1н

A: If we multiply a matrix by its inverse we get the identity matrix.

Q: If possible, find a single matrix equal to the fo -2 9 (a) 5

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Q: If possible, find a single matrix equal to the following: 2. (а) [-1 2 -2 1] - [10] -2 1 -11[2 (b) 1…

A: We can solve as follows

Q: Find the value of z in the equation matrix. 4 + 2 a. 1/2 C.-1/2 b. 1/4 d.-1/4

A: We have to solve the problem

Q: Q1/ Find the matrix below: -5x+2y-4z=5 3x+5y-2z=0 -2y-8z=3

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Q: -2r If A = -3 is a singular matrix, then r= ±4 O ±4 O plus-or-minus 5

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Q: What would be the Coefficient Matrix of the following system of equations? S-4x + y = -2 l-6x + 3y =…

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Q: What must be the matrix X, if 2 2X + 3 4 3 8 7 2

A: we have to find the matrix X if 2X+1234=3872

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

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Q: Find the transpose of the matrix. -1 1 D = 5 -3 -2 4

A: Given D=-115-3-24We know that transpose of matrix A=1234 is AT=1432

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.