30. Matriks A, B dan C memenuhi hubungan BC=A. Jika A = A=(} 4&-5 24&3 ) matriks B adalah __ a. (} 1&2 1&6 ) d. (} 2&1 1&6 ) b. (} 1&2 6&1 ) e. (} 2&4 1&6 ) C. (} 2&0 1&6 )

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Pertanyaan

30. Matriks A, B dan C memenuhi hubungan BC=A. Jika A = A=(} 4&-5 24&3 ) matriks B adalah __ a. (} 1&2 1&6 ) d. (} 2&1 1&6 ) b. (} 1&2 6&1 ) e. (} 2&4 1&6 ) C. (} 2&0 1&6 )

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Answer 1

The process calculates applicable options and the corresponding output of the question appears once computation sections are completed.

Answer 2

This question says that matrices A, B, and C satisfy the relation BC=A; given that A = (4 -5 24 3) and C (raised to the power of x) = (0 4 -3 1), and asking us to choose from multiple options the correct matrix B.

To solve this problem relating to matrix operation, we need to handle "x" as the identity, namely (C^x) equates to matrix C itself. Hence, C is actually (0 4 -3 1).

Room for equation algabra calculation, it follows A = BC, so B = A • (C^-1), where the • represents regular matrix multiplication, and (C^-1) is the inverse matrix of C.

Computing C^-1 requires us to take the determinant of matrix C, and judge whether or not matrix is legitimate for inverse operation. And then we find the cofactors of the cells, adjust signs for the cofactor matrix according to a checkerboard pattern, and finally compute the inverse matrix.

Once we find the inverse of C, we can then perform matrix multiplication for A and (C^-1) to find B. After correspondence from the above-mention steps will we figure out the matching options furnished.

Pertanyaan

30. Matriks A, B dan C memenuhi hubungan BC=A. Jika A = A=(} 4&-5 24&3 ) matriks B adalah __ a. (} 1&2 1&6 ) d. (} 2&1 1&6 ) b. (} 1&2 6&1 ) e. (} 2&4 1&6 ) C. (} 2&0 1&6 )

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