Find a basis for the solution space of the following homogeneous system. What is the dimension of the null space? a + 2b + 3d + e = 0 2a + 3b + 3d + e = 0 a + b + 2c + 2d + e = 0 3a + 5b + 6d + 2e = 0 2a + 3b + 2c + 5d + 2e = 0

Q: 4. Use row operations to show that det X y y² 2² Z = (z − x)(z − y) (y – x).

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Q: Let X = {a, b, c, d} and TX = {ø, X, {b}, %3D {b,c}, {a,b,d}} be a topology on X. Let Y = {1, 2, 3,…

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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.