Write a script (Program 2) to perform t he following matrix operations. Use output commands to clearly output each problem with
a problem description and result.
(a) Create the following three matrices: A = [ 9 3 5 /2 4 2/ 6 10 5 ] B = [ 1 4 4/ 0 9 4/ 2 6 1 ] C = [ 8 15 1/ 10 8 2/ 8 5 10 ]
(b) Calculate A + B and B + A to show that addition of matrices is commutative.
(c) Calculate A +( B + C ) and ( A + B )+ C to show that addition of matrices is associative.
(d) Calculate 8( A + C ) and 8A + 8C to show that multiplication by a scalar is distributive.
(e) Calculate A( B + C ) and AB + AC to show that matrix multiplication is distributive.
(f) Does AB = BA ?
(g) Find AT (transpose of A ).
(h) Calculate B-1 (inverse of B ).
(i) Calculate the product BB-1 .
(j) Create a 2x2 matrix consisting of the lower left elements of B .
(k) Create a row vector that is the vector sum of the first row of A and the third row of C .
(l) Calculate the dot product of the second row of B and the third column of C
(a) Create the following three matrices: A = [ 9 3 5 /2 4 2/ 6 10 5 ] B = [ 1 4 4/ 0 9 4/ 2 6 1 ] C = [ 8 15 1/ 10 8 2/ 8 5 10 ]
(b) Calculate A + B and B + A to show that addition of matrices is commutative.
(c) Calculate A +( B + C ) and ( A + B )+ C to show that addition of matrices is associative.
(d) Calculate 8( A + C ) and 8A + 8C to show that multiplication by a scalar is distributive.
(e) Calculate A( B + C ) and AB + AC to show that matrix multiplication is distributive.
(f) Does AB = BA ?
(g) Find AT (transpose of A ).
(h) Calculate B-1 (inverse of B ).
(i) Calculate the product BB-1 .
(j) Create a 2x2 matrix consisting of the lower left elements of B .
(k) Create a row vector that is the vector sum of the first row of A and the third row of C .
(l) Calculate the dot product of the second row of B and the third column of C
1 answer:
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Answer:
a) -36.36 V/V
b) 15.17 kHz
c) 1.6 GHz
Explanation:
See attached picture.
Answer:
Explanation:
Given conditions
1)The stress on the blade is 100 MPa
2)The yield strength of the blade is 175 MPa
3)The Young’s modulus for the blade is 50 GPa
4)The strain contributed by the primary creep regime (not including the initial elastic strain) was 0.25 % or 0.0025 strain, and this strain was realized in the first 4 hours.
5)The temperature of the blade is 800°C.
6)The formula for the creep rate in the steady-state regime is dε /dt = 1 x 10-5 σ4 exp (-2 eV/kT)
where: dε /dt is in cm/cm-hr σ is in MPa T is in Kelvink = 8.62 x 10-5 eV/K
Young Modulus, E = Stress, /Strain, ∈
initial Strain,
creep rate in the steady state
but Tinitial = 0
solving the above equation,
we get
Tfinal = 2459.82 hr