Find all 3x3 matrices for which the homogeneous system has a solution space as the line x = 2t , y = t , z = t / 2. (Hint: Write the row reduced augmented matrix from given information.)What is the rank in this case?

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Q: ve that for every matrix A, (AT)T = A

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Q: 4. Find the general solution to the linear system, and then show that the row vectors of the…

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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.