0 1 3 0 0 0 0 1

Q: True or False Given the matrix below the number of rows is 3. [1 3 4 -1 7 O True O False

A: Given, Let, A=1234-17

Q: 4 0 -2 | Diagonalize the matrix A if possible where A 2 5 4 0 0 5

A:

Q: 1 2 3 2 2 3 5 1 134 5 (b) Find the rank of the matrix A =

A: 1. We know rank of any matrix and rank of its reduced row echelon matrix are same. 2. Rank of a…

Q: True or false? det1A2 is defined only for a square matrix A.

A: True or false. det A is defined only for a square matrix A.

Q: Finding the rank of the matrix. 3 [1 2 A = 2 5 8 [4 10 18.

A: We will use row echelon form to find rank

Q: True or false? det1A2 is a number, not a matrix.

A: Given statement is det A is a number. To determine whether it is true or false. Solution: We know…

Q: 2 1 -1 3 1 2 1 2 0 b) Calculate the rank of the matrix P = 3 1 1 1 |-1 -5 -3 -7 3

A: Given,

Q: Determine if the matrix is nonsingular. Explain. [1 3 21 1 4 l1 -7 21

A:

Q: Determine whether the matrix is reduced or not reduced. [:] 1 0 0 1 Is the matrix reduced? O Yes O…

A:

Q: 6 1 is similar to the matrix B = 3 4 7 0 The matrix A = Select one: True False

A:

Q: -2 1 -1 -3 1 3 b) Find the Rank and Nullity of a matrix A = -2 -1 1 -1 3 3 9 0 -12

A: Concept:

Q: 4 0 -2 Diagonalize the matrix A if possible where A 2 5 4 0 0 5

A: An -matrix A is said to be diagonalizable if it can be written on the form. A=PDP^(-1) where D is a…

Q: 1- 2. 12 3 10 O 니 %3D 3.

A: In this question , we can find the value of the variable of 'a' and 'c' . Multiply the left hand…

Q: Let A be an n x m matrix. What is the value of rank(A) + nullity(A)? A) т B) n +1 C) m + n D) т — п…

A: given matrix A is of order n*m to find  rank(A) + nullity(A)

Q: 63 Find the value of c that makes matrix A= defective Select one: a. -2 b. 0 C. 2 d. 1

A: In linear algebra, defective matrices are non-diagonizable matrices or we can say in another form…

Q: What is the rank of the matrix?

A:

Q: Use the matrix below. B =    3 0 0 3   −4 −4 1 9 4 −5 −11 8 Write the negative of matrix B.

A: Given that: B=3003-4-4194-5-118

Q: 1200 00 1 0 0 0 0 1 0 0 0 What is the rank of matrix a. 4 b. 3 O C. 2 d. 1

A: The rank of the matrix refers to the number of linearly independent rows or columns in the matrix.…

Q: 24 --8 Find the rank of the matrix A =0 1 -2 4 8 -18 rank(A) =

A: given matrix is  A=-24-801-2-48-18 to find the rank of matrix

Q: 2 -1 0 1 5 2 1 -4 -1 -4 -1 6 -8 -5 -2 9 The rank of the matrix is The nullity of the matrix is

A:

Q: State the dimension of the matrix.   −3 3 7 0   0 1 14 6

A: Given that, the matrix is          -337001146 Here, the number of rows are 2.   &  the number of…

Q: [2 0° 0 3 2. similar to matrix 1 ? 0 3 Is matrix

A: The matrices A and B are similar if there exists an invertible matrix P such that B=P-1AP

Q: '2 5 4 For the matrix A = ( 2 5 0 3 7 9, what is the value of |A|? A. 176 В. 89 С. О D. - 4

A: If A is a square matrix then  A = determinant of matrix A

Q: 3 4 The matrix is singular if a O a. a = 1 or a=2 or a = 4 O b. a = 3 or a = 5 or a = 0 O c. a = 6…

A: the given matrix is  A = α34αα5ααα

Q: ior A. You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner…

A: Given that:1-12-12-32-14-1+5A=2960-4-144-10To find A

Q: (2 5 4 2 5 0 For the matrix A = what is the value of |A|? \3 7 9, A. 176 В. 89 С. О D. - 4

A:

Q: Consider matrix [2 1 3 A = 3 -1 [2 1 1 30] Find the input matrix for the output matrix 20 [10]

A: For the given matrix A and b we have to find matrix x such that Ax=b So Input matrix is b and output…

Q: -3 4 0 3 2 1 -1 3 о 1 -1 0 0 0 5 0 0 0 0 4 der the matrix A = 1 3 8. 1.

A: In this question, the following conditions are checked. Lower triangular matrix. Diagonalizable.…

Q: a²f(x) a²f(x) dx? a²f(x) ax2x1 ax,x2 J = a²f(x) əx What does this matrix mean?

A: Given matrix is J=∂2fx∂x12∂2fx∂x1x2∂2fx∂x2x1∂2fx∂x22 and we have to tell the meaning of this matrix.…

Q: [2 3 2] 10.) Is A=|0 7 6 an invertible matrix? Explain [5 5 4]

A: We have to solve the problem

Q: 0 2 1 2 4. Find the rank of the matrix N = 2 10 1 201 4

A: We have been given the matrix  Note - Since you have posted with multiple questions so, we will do…

Q: Q.3: Express the matrix as a product of elementary matrices 2 0] [1 1 3 A = |0

A: Explanation of the solution is given below...

Q: Г1 9 2 5 5 3 What are the dimensions of the matrix[4 4]?

A: The given matrix has 4 rows and 2 column.

Q: 1 -2 4 For the matrix A = 2 0. 6. what is the value of |A|? %3D 3 7 3.

A: Given, A=1-24206373

Q: (b) The rank of the matrix A is 2. 2 4 2) A = (1 k 3 1 2 2/ (i) (ii) Determine the value of the…

A:

Q: /4 5 8 6. For the matrix A = 2 3 what is the value of the element 1 4 9/ the second row and first…

A: Given that: A = 458236149

Q: -1 Find the product of matrices of A = 1 and B -2 -1 3 0 2 1 -1 0

A: The given matrices are: A=-1310-2-1,B=3021-10

Q: 4 x+2 If A= 2x-3 x +1, is symmetric matrix, then x= Select one: a. 2 b. 5 C. 3

A: Given: A=4x+22x-3x+1 is symmetric To find: x

Q: 0 2 42 24 3 2 54 1.Find the rank of the matrix -6 21 -21 0 -15

A: Solution is given below:

Q: (1 2 3 2 (b) Find the rank of the matrix A = 2 3 5 1 1 3 4 5

A: The given matrix,A=123223511345

Q: i) Find B Use Desmos Matrix 3 A = B = [ -6 6 4. -7 -8 II

A:

Q: 2. 5 4 For the matrix B = what is the value of |B|? 3 7 9 5 0 12 А 17 В. 4 | С. 0 D. -4

A:

Q: Which one of the following is not a diagonal matrix? .a 0 0 3 0 2 0 1 0 0 .b -5 0 0 05 0 0 5 .c -1 0…

A:

Q: -4 1 -1 The rank of the matrix -1 -1 -1 7 -3 1

A: Given matrix is A = -41-1-1-1-17-31

Q: Diagonalise the symmetric matrix A = 4 2 2 2 4 2 2 2 4

A: Given symmetric matrix is  We have to diagonalise the above matrix. First we will find the…

Q: -2 0 4 3 1 -1 -5 -1 1 b) Calculate the rank of the matrix P = 8 2 -12 3.

A: P=1-2043110-1-5-18382-12

Q: Determine the size of the matrix. 4 0 5 4 The size of the matrix isx

A:

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.