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Free online linear algebra calculators. Fast, accurate, and always free to use.
Use our free vector calculator to explore vector properties and perform operations: magnitude, unit vector, addition, subtraction, dot product, cross product (3D), scalar multiplication, and angle between vectors.
Use our free vector addition calculator to add two vectors component-wise with a detailed breakdown showing each component sum.
Use our free vector subtraction calculator to subtract two vectors component-wise with a detailed breakdown showing each component difference.
Use our free dot product calculator to compute ๐ยท๐, the angle between vectors, vector projection of ๐ onto ๐, and check orthogonality.
Use our free cross product calculator to compute ๐ร๐ for 3D vectors, the area of the parallelogram spanned by ๐ and ๐, the triangle area, and the unit normal direction.
Use our free unit vector calculator to normalize any vector to a unit vector, compute direction cosines and angles, verify unit vector status, and see the full step-by-step normalization process.
Use our free vector magnitude calculator to compute |๐ฏ| with step-by-step breakdown, squared magnitude, compare magnitudes with triangle inequality verification, and derive the unit vector.
Use our free vector projection calculator to compute proj_๐(๐), the scalar projection comp_๐(๐), and the perpendicular component ๐_โ with full step-by-step verification.
Use our free angle between vectors calculator to compute the angle ฮธ between two vectors, cos(ฮธ), check orthogonality and parallelism, and classify the relationship.
Use our free linear transformation calculator to apply a matrix transformation to vectors, see how standard basis vectors transform, batch-transform multiple vectors, and analyze properties like determinant, rank, trace, and invertibility.
Addition, subtraction, multiplication, and division calculators.
Simplify, compare, and calculate with fractions.
Decimal conversion, rounding, and arithmetic calculators.
Calculate powers, square roots, and nth roots.
Solve equations, inequalities, and algebraic expressions.
Area, volume, perimeter, and shape calculators.
Sine, cosine, tangent, and trigonometric functions.
Mean, median, mode, standard deviation, and more.
Prime numbers, factorization, factors, multiples, and LCM calculators.
Binary, decimal, and hexadecimal converters and arithmetic.
Arithmetic and geometric sequences and series.
Matrix operations, determinants, and inverses.
Derivatives, integrals, and limits calculators.
Complex number arithmetic and conversions.
Round numbers to specified precision and significant figures.
Odd math tools and general-purpose calculators.