Determine whether the statement below is true or false. Justify the answer.Here, A is an m×n matrix. The dimension of the column space of A is rank A. Determine whether the statement below is true or false. Justify the answer. Here, A is an mxn matrix.The dimension of the column space of A is rank A.Choose the correct answer below.O A. The statement is false. The rank of matrix A is equal to the dimension of the column space of A plus the dimension of the null space of A.B. The statement is true. The rank of matrix A is the dimension of the column space of A.O c. The statement is true. The rank of matrix A is equal to n, which is also equal to the dimension of the column space of A.O D. The statement is false. The rank of matrix A is equal to the number of columns plus the number of rows of A, or rank A = m + n.

Given statement is A is an m×n matrix. The dimension of the column space of A is rank A.

Answered: Determine whether the statement below…

Determine whether the statement below is true or false. Justify the answer. Here, A is an m×n matrix. The dimension of the column space of A is rank A.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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.

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