Reduced row echelon form Study guides, Class notes & Summaries

Elementary row operations Correct Answer 1. (Replacement) Replace one row by the sum of itself and a multiple of another row. 2. (Interchange) Interchange two rows. 3. (Scaling) Multiply all entries in a row by a nonzero constant. X1+x2+x3=2 X2+x3=9 0=-1 This set has ______ solutions and is _________ Correct Answer No solutions, is empty Consistant system Correct Answer a system of equations or inequalities that has at least one solution. The system is consistent because the system ca...

MATH 221 MT 1 EXAM WITH COMPLETE SOLUTION R^n - CORRECT ANSWERS all ordered n-tuples of real numbers based vectors - CORRECT ANSWERS a vector v is considered as an arrow from the origin to a point p Parallelogram Law for Vector Addition - CORRECT ANSWERS If two vectors acting simultaneously at a point can be represented both in magnitude and direction by the adjacent sides of a parallelogram drawn from a point, then the...

A system of linear equations can have exactly two solutionsFalse, Either 0,1, or infinity solutions The reduced row echelon form of a matrix is uniqueT The columns of any 2 x 3 matrix are linearly dependentT Each column of the matrix produce AB is a linear combination of the columns of BF Every 2 x 2 matrix which is not the zero matrix is invertibleF If A and B are both 4 x 4 matrices, and det A = 7 and det B = π, then det(B^tA^T) = 7πT

If A and B are invertible nxn matrices, then the product AB is also invertible. - True If Ax = 0 for some x =/= 0, then the matrix A is not invertible. - True If matrix A is row reduced to echelon form to produce matrix E, then the column spaces of A and E have the same dimension. - True Any set of vectors which span all of R3 is automatically a basis for R3. - False If λ=0 is an eigenvalue of A, then the matrix A is non-singular. - False If A and B are nxn matrices and det(AB) =/= 0, th...

Contents Preface. . . . . . . . . . . . . . . . . . . . . . . ix 1. Linear Equations . . . . . . . . . . . . . . 1 1.1 Introduction . . . . . . . . . . . . . . . . . . 1 1.2 Gaussian Elimination and Matrices . . . . . . . . 3 1.3 Gauss–Jordan Method . . . . . . . . . . . . . . 15 1.4 Two-Point BoundaryV alue Problems . . . . . . . 18 1.5 Making Gaussian Elimination Work . . . . . . . . 21 1.6 Ill-Conditioned Systems . . . . . . . . . . . . . 33 2. Rectangular Systems and Echelon Forms...

1.2 Row Reduction and Echelon Forms Exam with Questions and Answers A rectangular matrix is in echelon form if it has the following 3 properties: ANSWER All nonzero rows are above any rows of all zeros; each leading entry of a row is in a column to the right of the leading entry of the row above it; all entries in a column below a leading entry are zeros. leading entry ANSWER leftmost nonzero entry in a nonzero row If a matrix in echelon form satisfies the following additional condition...

Test Bank for Linear Algebra and its Applications, 6th Edition Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the system of equations. 1) x 1) 1 - x2 + 3x3 = -8 2x1 + x3 = 0 x1 + 5x2 + x3 = 40 A) (8, 8, 0) B) (0, -8, -8) C) (-8, 0, 0) D) (0, 8, 0) 2) x 2) 1 + 3x2 + 2x3 = 11 4x2 + 9x3 = -12 x3 = -4 A) (1, -4, 6) B) (-4, 1, 6) C) (-4, 6, 1) D) (1, 6, -4) 3) x 3) 1 - x2 +...

NLN-PAX Anatomy, NLN Pax- extra, NLN practice science questions, NLN PAX practice, NLN-Pax physics (PART 2) The fluid outside the cell, the _____________________ fluid, contains substances such as amino acids, sugars, fatty acids, hormones, neurotransmitters, and salts - CORRECT ANSWER Interstitial The _____________________ ER serves as a means for transport within the cell and is made up of many channels and serves to store and deliver the proteins made by the [attached] ribosomes. - ...

Test Bank for Linear Algebra and its Applications, 6th Edition Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the system of equations. 1) x 1) 1 - x2 + 3x3 = -8 2x1 + x3 = 0 x1 + 5x2 + x3 = 40 A) (8, 8, 0) B) (0, -8, -8) C) (-8, 0, 0) D) (0, 8, 0) 2) x 2) 1 + 3x2 + 2x3 = 11 4x2 + 9x3 = -12 x3 = -4 A) (1, -4, 6) B) (-4, 1, 6) C) (-4, 6, 1) D) (1, 6, -4) 3) x 3) 1 - x2 +...