Question

2) Calcule os valores das variáveis:

a) ( a b ) = ( 6 3 )
( c d ) ( 5 8 )

b) ( x 3 ) = ( 6 3 )
( 5 2y ) ( 5 8 )

c) ( m n ) = I2
( o p )

d) ( m 0 ) = ( 3 0 )
( 0 n+1 ) ( 0 5 )

e) ( y 0 ) = I2
( 0 x+y )

f) ( x + y b ) = ( 5 3 )
( y a-b ) ( 1 8 )

g) ( a + b 3d ) = ( 5 9 )
( 2b 2a-d ) ( 6 17 )

h) ( z x^2 -5x a6 )
( 0 y - 1 )​

Answer 1

Vamos là.

I2 é a matriz identidade

(1   0)

(0  1)

a) ( a b ) = ( 6 3 )

( c d ) ( 5 8 )

a = 6, b = 3, c = 5, d = 8

b) ( x 3 ) = ( 6 3 )

( 5 2y ) ( 5 8 )

x = 6, y = 8/2 = 4

c) ( m n ) = I2

( o p )

m = 1, n = 0, o = 1, p = 0

d) ( m 0 ) = ( 3 0 )

( 0 n+1 ) ( 0 5 )

m = 3, n = 4

e) ( y 0 ) = I2

( 0 x+y )

y = 1, x + 1 = 1, x = 0

f) ( x + y b ) = ( 5 3 )

( y a-b ) ( 1 8 )

y = 1 x = 4, b = 3, a = 11

g) ( a + b 3d ) = ( 5 9 )

( 2b 2a-d ) ( 6 17 )

b = 6/2 = 3. a = 2, d = 3, 4 - d = 17, d = -13

h) ( z x^2 -5x a6 )

( 0 y - 1 )​

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