Matrix Rank Calculator
Find the rank of a matrix (number of linearly independent rows/columns).
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Linear Algebra Calculators
40 calculators available
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Matrix Trace Calculator
You need to determine the trace of a square matrix to evaluate its properties in linear algebra, quantum mechanics, or multivariate statisti ...
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Matrix Transpose Calculator
You are staring at a complex dataset, and your analysis requires the row-column structure to be mirrored precisely. This Matrix Transpose Ca ...
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Null Space Calculator
When you need to determine the set of all vectors that map to zero under a linear transformation, this calculator provides the exact basis f ...
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Orthogonal Complement Calculator
When you need to identify the subspace perpendicular to your given vector set, this tool delivers the exact basis for the orthogonal complem ...
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Orthogonal Matrix Calculator
Determine whether a square matrix satisfies the strict geometric criteria of an orthogonal matrix. This tool validates if your columns are o ...
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Orthogonal Projection Calculator
You can use this calculator to find the exact orthogonal projection of a vector onto a specific subspace, such as a line or a plane. By dete ...
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Polar Decomposition Calculator
This tool helps you decompose a square matrix A into the product A = UP, where U is a unitary rotation matrix and P is a positive semidefini ...
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Pseudoinverse Calculator
When you face a matrix that lacks a traditional inverse, you need a way to solve for the best possible approximation. This tool computes the ...
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QR Decomposition Calculator
When you face a system of linear equations that demands a numerical solution, decomposing your matrix is the most stable approach. This tool ...
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Reduced Row Echelon Form Calculator
Transform complex matrices into their simplest form using our specialized Reduced Row Echelon Form (RREF) calculator. Whether you are solvin ...
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Row Space Calculator
When you are stuck staring at a complex matrix during a linear algebra exam or a data science project, determining the row space basis is of ...
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Scalar Multiplication Calculator
When you need to adjust the magnitude of a matrix without altering its directional orientation, scalar multiplication is your primary tool. ...
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Singular Values Calculator
Are you struggling to interpret the geometric stretching factors of your data matrix? This calculator determines the singular values of any ...
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SVD Calculator
When you need to break down complex datasets into their essential features, this SVD Calculator performs the Singular Value Decomposition fo ...
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Tensor Product Calculator
You are working on quantum states or multilinear transformations and need to combine two matrices into a larger space. This calculator compu ...
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