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Linear Algebra

QR Decomposition Calculator

Decompose any matrix A into an orthogonal matrix Q and an upper-triangular matrix R such that A = QR. Essential for solving least-squares problems, computing eigenvalues, and numerical linear algebra.

Fill in the required fields to see your result.
Linear Algebra

Matrix Scalar Multiplication

Multiply every element of a 2×2 matrix by a single scalar value. Use this when scaling a transformation matrix or adjusting magnitudes in linear algebra problems.

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Key differences

QR Decomposition CalculatorMatrix Scalar Multiplication
CategoryLinear AlgebraLinear Algebra
Inputs required44
ResultR Matrix DeterminantResult Element (1,1)
What it doesDecompose any matrix A into an orthogonal matrix Q and an upper-triangular matrix R such that A = QR. Essential for solving least-squares problems, computing eigenvalues, and numerical linear algebra.Multiply every element of a 2×2 matrix by a single scalar value. Use this when scaling a transformation matrix or adjusting magnitudes in linear algebra problems.