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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.

Matrix Element (1,1)

Matrix Element (1,2)

Matrix Element (2,1)

Matrix Element (2,2)

Fill in the required fields to see your result.

Linear Algebra

3x3 Matrix Trace Calculator

Compute the trace of a 3×3 matrix as the sum of its diagonal entries: a11 + a22 + a33. The trace equals the sum of eigenvalues and is invariant under similarity transformations.

Element (1,1)

Element (2,2)

Element (3,3)

Fill in the required fields to see your result.

Key differences

	QR Decomposition Calculator	3x3 Matrix Trace Calculator
Category	Linear Algebra	Linear Algebra
Inputs required	4	3
Result	R Matrix Determinant	Matrix Trace
What it does	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.	Compute the trace of a 3×3 matrix as the sum of its diagonal entries: a11 + a22 + a33. The trace equals the sum of eigenvalues and is invariant under similarity transformations.