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Solutions to the Practice Sets

Solutions to Practice Set A: Algebra and Arithmetic

1.

(a)

1111 - 345

ans =

766

(b)

format long; [exp(14), 382801*pi]

ans =

1.0e+06 *

1.20260428416478      1.20260480938683

The second number is bigger.

(c)

ans =

2.64550781250000

2.64575000000000

2.64575163398693

sqrt(7)

ans =

2.64575131106459

The third, that is 2024/765, is the best approximation.

2.

(a)

cosh(0.1)

ans =

1.00500416805580

(b)

log(2)

ans =

0.69314718055995

(c)

atan(1/2)

ans =

0.46364760900081

format short

3.

[x, y, z] = solve(‘3*x + 4*y + 5*z = 2’, ...

‘2*x - 3*y + 7*z = -1’, ‘x - 6*y + z = 3’, ...

‘x’, ‘y’, ‘z’)

x =

241/92

y =

-21/92

z =

-91/92

Now we’ll check the ...

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