6. Find the rank and the nullspace of the following matrix: 1 0 1 A = -4 5 2 -2 5 4

Q: Find the nullspace of the matrix

A:

Q: Construct the augmented matrix that corresponds to the following system of equations. …

A: Explanation of the answer is as follows

Q: A equals open parentheses table row 3 cell negative 6 end cell row 8 16 end table close parentheses…

A: Let's find matrix

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 an m x n matrix whose columns are linearly independent. What is the nullity of A?

A: Given A is an m×n matrix whose columns are linearly independent. We have to find the nullity of A.

Q: (A) IF A = [2 6 -3 - 6 and B- 3 -9 4 (A.B) null matrix.

A:

Q: Construct the augmented matrix that corresponds to the following system of equations. {…

A:

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: Find the rank of the following matrix. rank(A)- Question 8 grade: 0 2 1 1 1 2 1 1 1 2 1 1 1 2 1

A:

Q: A is an m x p matrix, B is a p x k matrix, and C is a k x n matrix. Show that A or (B or C) = (A or…

A: Introduction: Matrix multiplication is divided into two types: Scalar Matrix Multiplication, in…

Q: Reduce the following matrix to Echelon form and find out the rank: 3 -6 2 2 54 -15 42 24 21 -21

A:

Q: Suppose that A is a 10 x 4 matrix, and that B is an equivalent matrix in echelon form. If the number…

A: Thanks for the question :)And your upvote will be really appreciable ;)

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

A:

Q: Is the following matrix diagonalizable?

A:

Q: Determine the rank of the following matrix. 0 3 5 -4 0 1 0 0 -1

A:

Q: If for a square matrix A and B. null matrix O. AB = O implies A=O and B=O. True False

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

Q: Find the numbers of the pivots to the matrix below: 2 1 1 1 2 -1 0 1 4 4 4 -3 11 O 4 O 2 O 3 O 1

A:

Q: 2 Discuss whether the matrix A 1 2 0 is diagonalizable or not. -3 5 2 ||

A: A matrix is said to diagonalizable if for every eigen value's algebraic multiplicity is equal to its…

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: Determine the dimension of the nullspace of the matrix Г1 2 3 M 0 1 0 O 1 O 2 O 3

A:

Q: (A) IF A 2 ー3 - 6 6 3 -9 and B-4 is (A.B) null matrix.

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

Q: Find the minors and co-factors of C2, C,2, Cy2, Cyy, Cy of the given matrix 7 -12 A = 8 -5 11 -9 -1…

A: To find the minors and the cofactors

Q: (A) IF A- [2 -3 and B= 2 - 6 6 3 -9 is (A.B) null matrix.

A: We are allowed to answer only first part so please repost the other questions.

Q: The matrix A5 x 3 may have a rank = 4 %3D Select one: O True O False

A: Answer:   False  As rank of a matrix is always less than or equal m or n if order of matrix is m x…

Q: Find the rank of the following matrix: 3 1 0 0 0 0 rank -2 1 1 4 0 4 2 4

A: A=23100000-21140424 Now, R3→R3+R1 A=2310000004240424 C1→12C1 A=1310000004240424 R4→R4-R3…

Q: [30 If A= 2 0 LO 1 2 −2], find adjoin matrix 1

A:

Q: 22. If the order of matrix A is m x p. And the order of B is p x n. Then the order of matrix AB is?…

A: The order of Matrix A : m * p The order of Matrix B : p * n To find matrix AB  Multiply both…

Q: If A is a m × n matrix and B is a n × p matrix then AB is a m × p matrix. True or False

A:

Q: Find the rank of the following matrix 1 1 47 4 2 3 1 7 5 2 7 L1 0 41.

A: the given matrix is A=1114423175271041 operate R2→R2-4R1 A=11140-2-1-1575271041 operate R3→R3-7R1…

Q: Find the rank of the following matrix. rank(A)- Question 8 grade: 0 1 2 1 1] 1 2 1 1 1 2 1 0 1 1 2…

A:

Q: 1 2 Compute the adjoint matrix of A 3 2 2 2 3 Select one: a. -7 4 -5 7 -7 -5 3 -1 -2 %3D -7 -5 41 d.…

A: We have given a matrix and we have to find the adjoint of A.

Q: نقطة واحدة Show element equal to 18 in the * matrix Y Y= 2 5 7 4 8 3 10 20 30 12 14 16 18 Y(18) O…

A:

Q: Give the size of the following matrix 1. 1 1 1 5 2X2 1X3 B 3X3 2X3 2X1 D 3X2 H. Otherwise

A:

Q: If A is the matrix -3 4 3 A 3D 4 3. 1 12 and if 1 u = and V = 3.

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: 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: Let A and B 5 Find the (1,2)-entry of matrix X 3 -3 given that AX+X=B. 9 3 -1 ||

A: follow netx step

Q: Give the rank and the nullity of the matrix. 20 -2 A = rank(A) = nullity(A) =

A:

Q: Determine the dimension of the matrix. 17 15 0 50 3 3 0 1 6 7

A:

Q: Find the dimension of the null space of the given matrix A. 1. -1 4 A = 2 3 -2 1 2 -2

A:

Q: 11x/7=y 5z−3(x−4y)=0

A:

Q: 1 Find the condition number of matrix -2 -3 4

A:

Q: If the __________ of a matrix is p× q, then p represents the number of __________ and q represents…

A: If the order of a matrix is p x q, then p represents the number of rows and q represents the number…

Q: (A) IF A 2 1 -3 %3D and B= -6 16 3 -9 is (A.B) null matrix. 4

A: I am solving question1  for question 2 repost.

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…

A:

Q: Determine the rank of the following matrix. 0 2 3 -4 0 1 0 0 -1

A: rank of matrix

Q: 1 What is the transpose of matrix -2 0 2 3 -1 3 3 -2 0 a. 0. 2 3 -1 b. 10 -1 -2 2 3 3 C. 1 0-1 -2 2…

A:

Q: Which of the following augmented matrices corresponds to the system giver 3x + y – 9z = 0 -8x – 2y –…

A: