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Linear Algebra Chapter 1, 2, 3 Questions with 100% Actual correct answers | verified | latest update | Graded A+ | Already Passed | Complete Solution £6.46   Add to cart
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Linear Algebra Chapter 1, 2, 3 Questions with 100% Actual correct answers | verified | latest update | Graded A+ | Already Passed | Complete Solution

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Linear Algebra Chapter 1, 2, 3 Questions with 100% Actual correct answers | verified | latest update | Graded A+ | Already Passed | Complete Solution

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  • June 26, 2024
  • 10
  • 2023/2024
  • Exam (elaborations)
  • Questions & answers

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  • linear algebra chapter 1 2 3 questions with 100

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Linear Algebra Chapter 1, 2, 3
consistent system
a system of linear equations with at least one solution




inconsistent system
a system of linear equations with no solution




row echelon form
a matrix where the leading coefficient of each row is 1 and all entries below the
leading 1 are zero




pivot
the leading 1 in a row of a matrix in row echelon form




reduced row echelon form
a matrix in row echelon form where all entries above the leading 1 are also zero




Gaussian elimination
a method used to transform a matrix into row echelon form




Gauss-Jordan elimination
a method used to transform a matrix into reduced row echelon form




elementary row operations
operations that can be performed on rows of a matrix: 1) interchange two equations,
2) multiply an equation by a nonzero constant, 3) add a multiple of one equation to
another

, homogeneous solution
A system of linear equations having matrix form Ax = O




trivial solution
a homogeneous solution where all variables are equal to zero




row equivalent
when two matrices can be transformed into each other using elementary row
operations




matrix
a rectangular array of numbers




column matrix
a matrix with only one column




column vector
a column matrix




row vector
a matrix with only one row




equality of matrices
two matrices are equal if they have the same size and corresponding entries are
equal

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