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49 Cards in this Set
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Vector of Constants (VC) |
For a system of linear equations a11x1 + a12x1 + ... + a1nxn = b1 a21x1 + a22x1 + ... + a2nxn = b2 : : am1x1 + am2x1 + ... + amnxn = bm The vector of constants is the column vector of size m [b1] [b2] For a system of linear equations a11x1 + a12x1 + ... + a1nxn = b1 a21x1 + a22x1 + ... + a2nxn = b2 : : am1x1 + am2x1 + ... + amnxn = bm The vector of constants is the column vector of size m [b1] [b2]b = : : [bm] For a system of linear equations a11x1 + a12x1 + ... + a1nxn = b1 a21x1 + a22x1 + ... + a2nxn = b2 : : am1x1 + am2x1 + ... + amnxn = bm The vector of constants is the column vector of size m [b1] [b2]b = : : [bm] For a system of linear equations a11x1 + a12x1 + ... + a1nxn = b1 a21x1 + a22x1 + ... + a2nxn = b2 : : am1x1 + am2x1 + ... + amnxn = bm The vector of constants is the column vector of size m [b1] [b2]b = : : [bm] For a system of linear equations a11x1 + a12x1 + ... + a1nxn = b1 a21x1 + a22x1 + ... + a2nxn = b2 : : am1x1 + am2x1 + ... + amnxn = bm The vector of constants is the column vector of size m [b1] [b2]b = : : [bm] For a system of linear equations a11x1 + a12x1 + ... + a1nxn = b1 a21x1 + a22x1 + ... + a2nxn = b2 : : am1x1 + am2x1 + ... + amnxn = bm The vector of constants is the column vector of size m [b1] [b2]b = : : [bm] For a system of linear equations a11x1 + a12x1 + ... + a1nxn = b1 a21x1 + a22x1 + ... + a2nxn = b2 : : am1x1 + am2x1 + ... + amnxn = bm The vector of constants is the column vector of size m [b1] [b2]b = : : [bm] For a system of linear equations a11x1 + a12x1 + ... + a1nxn = b1 a21x1 + a22x1 + ... + a2nxn = b2 : : am1x1 + am2x1 + ... + amnxn = bm The vector of constants is the column vector of size m [b1] [b2]b = : : [bm] For a system of linear equations a11x1 + a12x1 + ... + a1nxn = b1 a21x1 + a22x1 + ... + a2nxn = b2 : : am1x1 + am2x1 + ... + amnxn = bm The vector of constants is the column vector of size m [b1] [b2]b = : : [bm] For a system of linear equations a11x1 + a12x1 + ... + a1nxn = b1 a21x1 + a22x1 + ... + a2nxn = b2 : : am1x1 + am2x1 + ... + amnxn = bm The vector of constants is the column vector of size m [b1] [b2]b = : : [bm] For a system of linear equations a11x1 + a12x1 + ... + a1nxn = b1 a21x1 + a22x1 + ... + a2nxn = b2 : : am1x1 + am2x1 + ... + amnxn = bm The vector of constants is the column vector of size m [b1] [b2]b = : : [bm] For a system of linear equations a11x1 + a12x1 + ... + a1nxn = b1 a21x1 + a22x1 + ... + a2nxn = b2 : : am1x1 + am2x1 + ... + amnxn = bm The vector of constants is the column vector of size m [b1] [b2]b = : : [bm] b = : : [bm] |
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System of Linear Equations (SLE) |
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Equivalent Systems (ESYS) |
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Equation Operations (EO) |
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Matrix |
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Column Vector (CV) |
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Zero Column Vector (ZCV) |
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Coefficient Matrix (CM) |
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Vector of Constants (VC) |
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Solution Vector (SOLV) |
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Matrix Representation of a Linear System (LSMR) |
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Augmented Matrix (AM) |
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Row Operations (RO) |
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Row-Equivalent Matrices (REM) |
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Reduced Row-Echelon Form (RREF) |
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Row-Reducing (RR) |
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Consistent System (CS) |
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Homogeneous System (HS) |
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Trivial Solution to Homogeneous System of Equations (TSHSE) |
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Null Space of a Matrix (NSM) |
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Square Matrix (SQM) |
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Nonsingular Matrix (NM) |
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Identity Matrix (IM) |
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Vector Space of Column Vectors (VSCV) |
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Column Vector Equality (CVE) |
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Column Vector Addition (CVA) |
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Column Vector Scalar Multiplication (CVSM) |
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Linear Combination of Column Vectors (LCCV) |
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Span of a Set of Column Vectors (SSCV) |
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Relation of Linear Dependence for Column Vectors (RLDCV) |
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Linear Independence of Column Vectors (LICV) |
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Modulus of a Complex Number (MCN) |
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Complex Conjugate of a Column Vector (CCCV) |
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Inner Product (IP) |
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Norm of a Vector (NV) |
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Orthogonal Vectors (OV) |
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Orthogonal Set of Vectors (OSV) |
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Standard Unit Vectors (SUV) |
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Matrix-Vector Product (MVP) |
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Matrix Multiplication (MM) |
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Matrix Inverse (MI) |
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Column Space of a Matrix (CSM) |
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Row Space of a Matrix (RSM) |
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Vector Space of m x n Matrices (VSM) |
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Matrix Equality (ME) |
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Matrix Addition (MA) |
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Matrix Scalar Multiplication (MSM) |
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Transpose of a Matrix (TM) |
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Symmetric Matrix (SYM) |
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