Linear Algebra Solver

About Linear Algebra

Linear algebra is the working language of modern science and engineering. The 12 solved examples cover eigenvalues and eigenvectors of 2×2 and 3×3 matrices (the characteristic polynomial, solving det(A − λI) = 0, then finding the corresponding null space), the conditions for a matrix to be diagonalisable, and the actual diagonalisation step P⁻¹AP = D. A couple of the problems use diagonalisation to compute a high power of a matrix without multiplying it out by hand — exactly the kind of trick B.Tech and M.Sc exams keep coming back to.

What this calculator does

• Step-by-step working. Every intermediate line is shown, in the layout examiners reward in CBSE / ICSE and university scripts.
• Graphs where they help. Functions and equations are plotted so you can see the result rather than just read it.
• Verification. The answer is substituted back into the original problem so you know the working is consistent.

Frequently Asked Questions