Find the range of a (2 × 3) matrix B with rank(B) = 2

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: State the quadratic form of a general multivariate function in two variables and give the matrix…

A: Given problem is :   State the quadratic form of a general multivariate function in two variables…

Q: 6. Find the inverse of the matrix if it exists by using elementary row operation, 2 4 1 -1 1 -1

A:

Q: Find the characteristic equation of the matrix: 4 C = 2 -2 2.

A: Characteristic equation of the matrix C is given by  det ( C - λI ) = 0

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

A:

Q: The transpose of a square matrix is

A:

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: Find the determination of matrix:- 1 B 2

A: Part (A) - Given matrix - A = 215-1031-24Determinant of matrix A - A =…

Q: Find the matrix A of the quadratic form associated with the equation.x2 + y2 − 4 = 0

A:

Q: Find a 2 by 2  matrix that scales the point (x,y) by 0.5 in the x direction and 3 in the y…

A:

Q: determine the general solution to the linear system x′= Ax for the given matrix A.

A: To Determine: The general solution of the linear system x'=Ax, whereA=-616-5 Concept: To Solve…

Q: Find the characteristics equation of the matrix [1 2 A -2 -1 01 and hence find A-.

A:

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: Find the matrix A of the quadratic form associated with the equation. x2 + y2 - 4 = 0 A =

A:

Q: Matrix A is 2 x 7 and matrix B is 2

A: Given, Matrix A is 2 x 7 and matrix B is 2 x 8.

Q: Find the negative of matrix. A] = { 0. [A %3D -3 8

A: Given that, the matrix is A=2045-38. Note that, the negative of the matrix A is -A.

Q: Reduce the matrix to echelon form and find its rank

A:

Q: Find the size of the matrix 0.

A: Count the number of rows and columns

Q: Give a 4 x 4 elementary matrix E which will carry out the row operation R2 + 4R1 → R2.

A:

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…

A:

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: Envision a 2 x 3 matrix.

A: Let A be the matrix with order 2×3, which represents 2 as number of rows and 3 as number of columns.

Q: Find the transpose of the matrix.

A:

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: Write a 4 x 6 matrix with distinct non-positive entries and find its transpose

A: Topic = Matrics

Q: 2x1 - 2х2 + 4хз (d) 3x1 – 3x2 + 6x3 5х2 + 2хз -3 -4 9

A: Given information: The given system of linear equation is  2x1-2x2+4x3=-33x1-3x2+6x3=-45x2+2x3=9.…

Q: Write the augmented matrix for the linear system that corresponds to the matrix equation Ax = b.

A: Given ,

Q: Given the matrix 1

A:

Q: State the dimension of the matrix. 4 -4 0 -2 7 -3.

A:

Q: Find the symmetric matrix A associated with the given quadratic form. x1x2

A:

Q: [2 Given the matrix

A: As per the instructions, we will be solving only the first question. We will be solving 2131xy=21.…

Q: Find 2A-l if we have the matrix 2 1

A: A=32102A=232102A=2×32×22×12×02A=6420

Q: State the dimension of the matrix.

A: The dimension of a matrix is the number of rows by the number of columns. For example is a matrix A…

Q: Represent the Range of the matrix A: 1 -2 1 2 2 -4 2 4 A = -1 -1 -2 3 -6 3 6

A:

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: FIND THE SIZE OF THE MATRIX 2. 4 - 2

A:

Q: Find 6x6 matrix | a, that satisfies the stated condition. Make your answers as general as possible…

A:

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: How can we determine the cofactor for each element in a matrix?

A: Query- How can we determine the cofactor for each element in a matrix? Answer-  The first step…

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

A:

Q: Diagonalize the matrix -5 -2 A = 3 [ by writing it as A = PDP-1

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Q: Determine the size of the matrix. 2 -1

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: A is a 3 x 3 matrix with two pivot positions.

A:

Q: For matrix A if f(X) = X2 + 4, what is the answer to f(A)?

A:

Q: Matrix A is 2 x 7 and matrix B is 2 x 8. BTA is dimension

A:

Q: Գ -1 - r] ]]

A: Given:      Matrix A=266276277  then  A-1=1A×AdjA          A=266276277…

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: State the quadratic form of a general multivariate function in three variables and give the matrix…

A: A quadratic function f : R→R has the formf(x)=a.x2Generalization of this notion to three variablesis…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.