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[[-3,4,-5],[1,3,2],[2,5,5]] -14

11) [−34−5132255] \left[\begin{array}{rrr}-3 & 4 & -5 \\ 1 & 3 & 2 \\ 2 & 5 & 5\end{array}\right] \newline−14 -14

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Q. 11) [−34−5132255] \left[\begin{array}{rrr}-3 & 4 & -5 \\ 1 & 3 & 2 \\ 2 & 5 & 5\end{array}\right] \newline−14 -14
  1. Identify Matrix and Number: Identify the matrix and the number involved in the calculation.\newlineThe matrix given is [−34−5 132 255]\begin{bmatrix}-3 & 4 & -5 \ 1 & 3 & 2 \ 2 & 5 & 5\end{bmatrix} and the number is −14-14.
  2. Determine Calculation Type: Determine the type of calculation to be performed with the matrix and the number. The problem does not specify an operation, but given the context, it seems we are asked to multiply the matrix by the number −14-14.
  3. Multiply Elements by Number: Multiply each element of the matrix by the number −14-14. We perform the multiplication element-wise: [[−3×−14,4×−14,−5×−14],[1×−14,3×−14,2×−14],[2×−14,5×−14,5×−14]][[-3\times-14, 4\times-14, -5\times-14], [1\times-14, 3\times-14, 2\times-14], [2\times-14, 5\times-14, 5\times-14]]
  4. Calculate Products: Calculate the products for each element in the matrix.[42−5670 −14−42−28 −28−70−70]\left[\begin{array}{ccc}42 & -56 & 70 \ -14 & -42 & -28 \ -28 & -70 & -70\end{array}\right]
  5. Verify Calculations: Verify the calculations for any mathematical errors.\newlineChecking the multiplication:\newline−3×−14=42-3 \times -14 = 42 (Correct)\newline4×−14=−564 \times -14 = -56 (Correct)\newline−5×−14=70-5 \times -14 = 70 (Correct)\newline1×−14=−141 \times -14 = -14 (Correct)\newline3×−14=−423 \times -14 = -42 (Correct)\newline2×−14=−282 \times -14 = -28 (Correct)\newline2×−14=−282 \times -14 = -28 (Correct)\newline5×−14=−705 \times -14 = -70 (Correct)\newline5×−14=−705 \times -14 = -70 (Correct)\newlineAll calculations are correct.

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