Write down an augmented matrix in reduced form corresponding to
a system with 3 equations and 5 variables which has infinitely many
solutions and 2 free variables.
Write down an augmented matrix in reduced form corresponding to
a system with 4 equations and 5 variables which has no solutions
and 2 free variables.
3×3 Systems Elimination by Addition
1) -5x-2y+20z=-28
2) 2x-5y+15z=-27
3) -2x-2y-5z= -12
Please write out all of the steps so I'll be able to
figure out the formulas myself.
show all workings please. TIA
1) a) Write down the augmented matrix for the following system
of linear equations and solve the system.
3x1 − 7x2 + 4x3 = 10
−x1 − 2x2 + 3x3 = 1
x1 + x2 + 2x3 = 8
b) Jason invested $30 000, splitting it between the three
companies Acorn Industries, Balderdash Bank and Chester Challenge.
The interest rates were respectively 5%, 6% and 7% per annum. The
total annual income (i.e. the sum...
The speech production process
Directions: Write a description of the process — step by step —
of producing voice and speech. Include ALL of the terms below. The
function of each term
(larynx, approximation, pharynx, pitch, phonation, sound waves,
vocal folds, articulation, amplitude, volume, frequency, resonance,
vibration)
Find the matrix A representing the follow transformations T. In
each case, check that Av = T(v)
Step by step please.
A. T(x,y,z) = (x-3y+4z, 6x-2z, 8x-y-4z)
B. T(x,y) = (x,y,y-x,x+y, 6x-9y)
Thank you!
Solve each item supporting your answer with clear
explanation.
1.Consider the following augmented matrix of a system of linear
equations.
( 7 −3 4 6
−3 2 6 2
2 5 3 −5 )
a. Solve the system with the Jacobi method. First rearrange to
make it diagonally dominant if possible. Use [0,0,0] as the
starting vector. Find the condition number of the matrix of
coefficients κ∞(A), and compute how many iterations are
required to get the solution accurate to...
Write a python function which takes input matrix A and applies
gaussian elimination with pivoting strategy which returns P,Q
(permutation matrices) L (lower triangular matrix with 1's on the
diagonal) and U (upper triangular matrix) such that (P^t)(A)(Q)=LU
is correct,