Solving linear Combination is a kind of fun learning. If you are a quick learner ... let me help you understand on solving linear combination in a quick way.
Introduction for solving linear combination
Linear combination is the wing of linear algebra. Linear algebra is mainly used to find the solution of systems of linear equations in some unknowns. Linear combination associates with the families of vectors called vector spaces, and with functions contain one input vector and output vector, according to definite rules. Linear combination deals with the theory of systems of linear equations, determinants, linear transformations, vector spaces and matrices. Solving Linear combination example problems:
The following are examples problems with detailed solution for solving linear combination. Example : Solve the linear equation -4(x - 3) - 5x - 2 = 4(x + 3) - 3x Solution: Given -4(x - 3) - 5x - 2 = 4(x + 3) - 3x Multiply factors -4x + 12 - 5x - 2 = 4x + 12 - 3x Group like terms -9x + 10 = x + 12 Subtract 10 to both sides -9x + 10 - 10 = x + 12 -10 Group like terms -9x = x + 2 Subtract x to both sides -9x - x = x + 2 -x Group like terms -8x = 2 Multiply both sides by -1/8 x = - 1/4 x = - 1/4 is the solution to the given equation
Introduction for solving linear combination
Linear combination is the wing of linear algebra. Linear algebra is mainly used to find the solution of systems of linear equations in some unknowns. Linear combination associates with the families of vectors called vector spaces, and with functions contain one input vector and output vector, according to definite rules. Linear combination deals with the theory of systems of linear equations, determinants, linear transformations, vector spaces and matrices. Solving Linear combination example problems:
The following are examples problems with detailed solution for solving linear combination. Example : Solve the linear equation -4(x - 3) - 5x - 2 = 4(x + 3) - 3x Solution: Given -4(x - 3) - 5x - 2 = 4(x + 3) - 3x Multiply factors -4x + 12 - 5x - 2 = 4x + 12 - 3x Group like terms -9x + 10 = x + 12 Subtract 10 to both sides -9x + 10 - 10 = x + 12 -10 Group like terms -9x = x + 2 Subtract x to both sides -9x - x = x + 2 -x Group like terms -8x = 2 Multiply both sides by -1/8 x = - 1/4 x = - 1/4 is the solution to the given equation
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