Matematika

Pertanyaan

Jika matrik A={2 4}
{3 1}
I={1 0}
{0 1} maka (A+I)^2=

Mohon bantuanya

2 Jawaban

  • jawab

    A + I = [(2+1)..(4+0)||(3+0)...(1+1)]

    [A + I] = [3...4||3...2]

    [A + I] ² = [A + I][A + I]

    = [ (3.3 +4.3) ...(3.4+4.2) || (3.3 + 2.3)...(3.4 +2.2)]

    = [ (9+12)...(12+8) || (9+6)...(12+4)]

    = [ 21 ...20 || 15...16]


  • A+I= 3 4
    3 2
    [tex] \binom{3 \: \: \: 4}{3 \: \: 2} \times \binom{3 \: \: 4}{3 \: \: 2} = \binom{21 \: \: \: 20}{15 \: \: 16} [/tex]

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