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Home » eginbmatrix a & b \ c & d \endbmatrix eginbmatrix 3 \ -1 \endbmatrix = eginbmatrix 3a - b \ 3c - d \endbmatrix = eginbmatrix 5 \ -2 \endbmatrix - AMAZONAWS

eginbmatrix a & b \ c & d \endbmatrix eginbmatrix 3 \ -1 \endbmatrix = eginbmatrix 3a - b \ 3c - d \endbmatrix = eginbmatrix 5 \ -2 \endbmatrix - AMAZONAWS

📅 March 6, 2026 👤 scraface
Mar 06, 2026
egin{bmatrix} a & b \ c & d \end{bmatrix} egin{bmatrix} 3 \ -1 \end{bmatrix} = egin{bmatrix} 3a - b \ 3c - d \end{bmatrix} = egin{bmatrix} 5 \ -2 \end{bmatrix}

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📌 From equation 3: \(a = 4 - 2b\). Substitute into equation 2: \(2c - 3(4 - 2b) = 7 \implies 2c - 12 + 6b = 7 \implies 2c + 6b = 19\). From equation 1: \(c = 5 - 3b\). Substitute into \(2c + 6b = 19\): \(2(5 - 3b) + 6b = 10 - 6b + 6b = 10 = 19\), which is a contradiction. Thus, no solution exists.

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