If A is a 7 × 5 matrix, what is the largest possible rank of A? If A is a 5 × 7 matrix, what is the largest possible rank of A? Explain your answers.

Q: Let A and B be row equivalent matrices, and suppose that B can be obtained from A by using only row…

A:

Q: If A is a 5 x 6 matrix and the sum A + B can be computed, what is the size of B?

A:

Q: Determine the size of the matrix.

A:

Q: Is it possible to find a matrix in row echelon form whose column (iv) space is the same as that of…

A: (iv) No , it is not possible to find a matrix in row echelon form whose column space is same as that…

Q: The dimension of the row space of a 3 x 5 matrix A is 2. (a) What is the dimension of the column…

A: Since you have posted multiple subparts we solve the first three subparts for youTo get the solution…

Q: What is the rank of the matrix?

A:

Q: A and B are 8 × 2 matrices, and C is a 6 x 8 matrix, which of the following are defined? Note you…

A:

Q: If the expression A x B is defined, and if A is a 3 x 5 matrix, then what could be the dimensions of…

A:

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: What is the order of the following matrix and why?  | 5 | | -2| | 0 | | -1 |

A: Given: | 5 |   | -2|   | 0 |   | -1 |

Q: . With numbers, a∙b=b∙a and we say that multiplication is commutative.  Is matrix  multiplication…

A:

Q: What is the transpose of inverse of following 2X2 matrix? Note: 2X2 matrix is given as a table. Fill…

A:

Q: What does it mean if a 3x3 matrix have 3 identical rows? How do you solve it? 2 -1 2 2 -1 2 2 2 -1

A: A matrix has 3 identical rows,  Write the meaning of it and how do we solve it.

Q: If A is 7x9 matrix. what is the smallest possible dimension of N(A)? Select one: а. 2 b. 0 C. 7 d. 9

A:

Q: If A is a 5X4 matrix and B is a 3X5 matrix, which of the following two products is defined (Select…

A: Explanation of the answer is as follows

Q: For Square Matrix A, B of the same size is it true (A + B)-1 = A-1 + B-l? Explain

A:

Q: Suppose a 4x7 matrix A has 4 pivot columns. Is Columnspace(A) = R* ? Is Nullspace(A) = R° ? Explain…

A: Answer is mentioned below

Q: What Geometric shapes are obtained from 2x2 matrices?

A: Important points: Geometric shape of all square matrices is 'square'. Order of a general matrix:   n…

Q: If a 4 x 3 matrix is multiplied by a 3 x 4 matrix, what are the dimensions of the resulting product…

A:

Q: How can you figure out the matrix A, in terms of B, C, and D, if: (5CA−1D ) −1 = B

A:

Q: 4. Are the following matrices in Row Reduced Echelon Form (RREF)? If the matrix is not in RREF, what…

A: Nonzero ( row / column ) : A nonzero row or column in a matrix means a row or column that contains…

Q: Explain m x n matrix?

A:

Q: sum of a 5 ´ 3 matrix and a 3 ´ 5 matrix is

A:

Q: Hi, what is the fastest way to find the cofactor matrix for a 3x3 matrix? The calculator allowed is…

A: Let us suppose that the given matrix is A:

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

A:

Q: Let A be a 4x3 matrix, B be a 3x3 matrix, and C be a 3x5 matrix. Give the size of ABC. a) 4x3 b) 3x5…

A: Matrix multiplication

Q: If A is 7x9 matrix. what is the smallest possible dimension of N(A)? Select one: a. 2 b. 7 с. О d. 9

A: Rank-Nullity Theorem : rank + nullity = dimension   Dimension of N(A) is nullity. To get the…

Q: If A is a 4 x 3 matrix and the sum A + B can be computed, what is the size of B? Question Help: O…

A: Sum A+B can be computed only when A and B has same size. So that size of B is 4x3

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

A:

Q: c) If A is a 5 × 4 matrix, what is the largest possible dimension of the row space of A? If A is a 4…

A:

Q: A is a 4x3 matrix, what is the largest possible dimension of the row space of A? If A is a 3x4…

A: If A is a 4×3 matrix, then we need to find the largest possible dimension of the row space of A.…

Q: If a 2 x 3 matrix is multiplied by a 2 x 3 matrix, which of the below choices show the dimensions of…

A:

Q: Create examples of two 2x2 matrices, A and B, such that (a) A^2 = -1, A having only real entries and…

A: Matrix multiplication

Q: If A is 7x9 matrix. what is the smallest possible dimension of N(A)? Select one: a. 7 b. 9 C. 2 d. 0

A: Topic- nullity of a matrix

Q: Explain why the product of a 3 × 2 matrix by a 3 × 2 matrix is undefined.

A: Given, matrix of order 3 x 2 and other also 3 x 2 matrix.Let us take,

Q: This is a linear algebra problem. Please explain each step thoroughly. if A is an 8 x 5 matrix,…

A: Given that A is an 8×5 matrix. To find the smallest possible value of dimension of Null A.

Q: Find a family of the matrices that is similar to the matrix P=8 4 -3

A: To Determine: find a family of matrices which is similar to the matrix Q where P=8 . Given: we have…

Q: If A is 7×9 matrix. what is the smallest possible dimension of N(A)? Select one: а. О 10 b. 7 с. 2…

A: We know that  The largest possible rank of an m by n matrix is the minimum value of m and n. The…

Q: If A is a 10x7 matrix, what is the largest possible rank of A? If A is a 7x 10 matrix, what is the…

A: Given that, If A is a 10x7 matrix, what is the largest possible rank of A? If A is a 7 x 10 matrix,…

Q: If a 2 x 3 matrix is multiplied by a 3 x 3 matrix, which of the below choices show the dimensions of…

A:

Q: The notation a34 refers to the element in the_______ row and______ column of a matrix.

A: Given information: Notation a34

Q: When writing a matrix in row echelon form using gaussians elimination, is there only one correct…

A: Solution:-when writing a matrix in row echelon form using gaussian elimination,

Q: Consider the augmented matrix, 2 -3 An elementary row operation was performed leading to the…

A: We want to find performed operation

Q: Suppose that we have a n × 10 matrix (n rows and 10 columns) where the entries are either 0 or 2.…

A: Given that the order of matrix is n×10 in which the entries are either 0 or 2. If n=10 and choose…

Q: Could a 4x7 matrix have dim Col A​=5 and dim Nul A​ = 2? Justify your answer. Remember to think…

A: Having dim Col A​=5 for a 4 x 7 matrix is not possible, where as dim Nul A​ = 2 is possible.

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: You can multiply a 2X3 matrix by which matrix below? * О 3х12 О 2х12 О 2х3 O 2x2

A:

Q: Consider the matrix. -3 5 C = %3D -2 4 What is the value of ? |C|- %3D

A:

Q: If A is a 4 x 15 matrix, what is the largest rank possible? Your Answer:

A: If A is a ,4 * 15 matrix   Then largest possible rank of A =, min { 4 , 15 }

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.