Question

1°) Dadas as matrizes A = ( 1 -2 0 / 5 -4 3 ) e B = ( - 3 6 12 / 9 -6 15 ), determine:

a) 2A
b) ( A + B ) / ( 2)
c) ½ B
d) B - 4A​

Answer 1

Resposta:

Explicação passo-a-passo:

A =

( 1 -2 0)

(5 -4 3 )

B =

( - 3 6 12)

(9 -6 15 )

determine:

a) 2A

=

2.

( 1 -2 0)

(5 -4 3 )

=

{2.1 2.(-2) 2.0}

{2.5 2.(-4) 2.3}

=

{2 -4 0}

{10 -8 6}

---------------

b) ( A + B ) / ( 2)

( 1 -2 0)

(5 -4 3 )

+

( - 3 6 12)

(9 -6 15 )

=

{1-3 -2+6 0+12}

{5+9 -4-6 3+15}

=

{-2 4 12}

{14 -10 18}

:2

=

{-1 2 6}

{7 -5 9}

-------------

c) ½ B

= b/2

=

( - 3 6 12)

(9 -6 15 )

: 2

(-3/2 6/2 12/2)

(9/2 -6/2 15/2)

=

{-3/2 3 6}

{9/2 -3 15/2}

------------

d) B - 4A​

4.A

= 4 .

( 1 -2 0)

(5 -4 3 )

=

{4.1 4.(-2) 4.0}

{4.5 4.(-4) 4.3}

4A

=

{4 -8 0}

{20 -16 12}

B - 4A

=

( - 3 6 12)

(9 -6 15 )

-

{4 -8 0}

{20 -16 12}

=

{-3-4 6-(-8) 12-0}

{9-20 -6-(-16) 15-12}

=

{-7 14 12}

{-11 10 3}

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