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Fundamentals of Matrix Algebra, 2011a

Fundamentals of Matrix Algebra, 2011a

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Index<br />

parcular soluon, 30<br />

problem solving, 37<br />

pseudoinverse, 130<br />

reduced echelon form, 14<br />

reduced row echelon form, 14<br />

row echelon form, 14<br />

column, 52<br />

length, 74, 224<br />

row, 52<br />

zero matrix, 49<br />

skew symmetric, 128<br />

definion, 128<br />

theorem, 129<br />

soluon, 3<br />

infinite, 24, 27, 90<br />

none, 24<br />

parcular, 30<br />

types, 24<br />

unique, 24, 90, 110<br />

standard unit vector, 208<br />

symmetric, 128<br />

definion, 128<br />

theorem, 129<br />

system <strong>of</strong> linear equaons<br />

consistent, 24, 27, 88, 90<br />

definion, 3<br />

homogeneous, 87<br />

inconsistent, 24, 29<br />

soluon, 3<br />

trace<br />

definion, 131<br />

properes, 133<br />

transpose, 121<br />

definion, 122<br />

properes, 126<br />

skew-symmetric, 128<br />

symmetric, 128<br />

triangular matrix<br />

definion, 123<br />

determinant, 148<br />

variable<br />

basic, 27<br />

dependent, 27<br />

free, 25, 27<br />

independent, 27<br />

vector<br />

238

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