Solving task on-line

Solution of linear equations using matrix online

With the help of the inverse matrix to find the solution of equations.

Fill in the matrix, click Next . The resulting solution is stored in the file MS Word. For editing, you can use formuls editor Microsoft Equation

Sample

Matrix À: Matrix B: 0 14 16

Solution for 3-unknown

Matrix A

Result B

Solution for 3-unknown

Matrix A

Result B

The method of matrix calculus

Let the matrix A is called nondegenerate. We find the matrix X and Y from equations

AX = B YA = B Since the matrix A is nonsingular, then there exists an inverse matrix À^-1. Multiplying the left of both sides of the equality of the matrix on the matrix À^-1. Obtain X = À^-1B

Prove that the vectors a, b, c form a basis, and find the coordinates of the vector d in this basis.
Let R ³ respect to the canonical bases given four vectors f ₁ = (1,2,3), f₂ = (2,3,7),f₃ =(1,3,1), x = (2,3,4). Prove that the vectors f₁, f₂, f₃ can be taken as the new basis. Find coordinates η₁, η₂, η₃ vector x with respect to this base.

Example solutions

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