📐 B.Tech Level Math Tools

Perform matrix addition and subtraction with step-by-step derivations and mathematical formatting.

Perform matrix multiplication with step-by-step dot-product derivations and visual mathematical formatting.

Calculate the determinant of any square matrix with step-by-step cofactor expansion rendering.

Calculate the inverse of any matrix using the adjugate method with step-by-step details and fractional output.

Calculate the transpose of any matrix by swapping its rows and columns with step-by-step visual mapping.

Calculate the rank of any matrix using Gaussian elimination to find the number of non-zero rows.

Reduce any matrix to row echelon form step-by-step using Gaussian elimination.

Compute eigenvalues and eigenvectors for 2x2 and 3x3 matrices with algebraic derivations.

Solve systems of linear equations (2 or 3 variables) using determinants and Cramers rule.

Add or subtract 2D and 3D vectors with components-wise derivations.

Calculate the dot product of two vectors with step-by-step element products rendering.

Calculate the cross product of two 3D vectors using cofactor determinant expansions.

Calculate vector magnitude (length) and unit vector normalization step-by-step.

Find the angle (in degrees and radians) between two 2D or 3D vectors.

Calculate the scalar and vector projection of Vector A onto Vector B.

Differentiate functions symbolically with step-by-step solutions.

Compute definite and indefinite integrals with step-by-step numeric integration Fallbacks.

Evaluate limits of mathematical functions from both left and right sides numerically.

Compute Taylor and Maclaurin power series expansion coefficients up to n terms.

Solve first-order ordinary differential equations numerically using RK4 method.

Find the Laplace and Inverse Laplace transform of standard functions.

Calculate Fourier coefficients a0, an, bn and expansion terms for periodic functions.

Solve quadratic equations step-by-step, including real and complex roots.

Find the real and complex roots of polynomials up to degree 5.

Solve systems of 2 or 3 linear equations using Gaussian elimination.

Decompose rational expressions into partial fractions step-by-step.

Perform arithmetic operations on complex numbers and polar-rectangular conversions.

Solve algebraic equation roots numerically using Bisection and Newton-Raphson methods.

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