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Diberikan matriks A=([5,2a],[3a+b,b-c]) dan B=([5,8],[a,c]), Jika A=B, maka nilai c

Diberikan matriks A=(52a3a+bb−c) A=\left(\begin{array}{cc}5 & 2 a \\ 3 a+b & b-c\end{array}\right) dan B=(58ac) B=\left(\begin{array}{ll}5 & 8 \\ a & c\end{array}\right) , Jika A=B A=B , maka nilai c c

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Q. Diberikan matriks A=(52a3a+bb−c) A=\left(\begin{array}{cc}5 & 2 a \\ 3 a+b & b-c\end{array}\right) dan B=(58ac) B=\left(\begin{array}{ll}5 & 8 \\ a & c\end{array}\right) , Jika A=B A=B , maka nilai c c
  1. Compare First Elements: Compare the first elements of matrices AA and BB.A[1,1]=B[1,1]A[1,1] = B[1,1]5=55 = 5
  2. Compare Second Elements: Compare the second elements of the first row of matrices AA and BB.A[1,2]=B[1,2]A[1,2] = B[1,2]2a=82a = 8a=4a = 4
  3. Compare First Elements Second Row: Compare the first elements of the second row of matrices AA and BB.
    A[2,1]=B[2,1]A[2,1] = B[2,1]
    3a+b=a3a + b = a
    3(4)+b=43(4) + b = 4
    12+b=412 + b = 4
    b=−8b = -8
  4. Compare Second Elements Second Row: Compare the second elements of the second row of matrices AA and BB.
    A[2,2]=B[2,2]A[2,2] = B[2,2]
    b−c=cb - c = c
    −8−c=c-8 - c = c
    −8=2c-8 = 2c
    c=−4c = -4

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