24. What are the values of c1, C22, and es3 in the resulting matrix? [1 0 0ȚI 2 3] 0 3 0 4 5 6 L00 57 89 C2,1 2,2 C2,3 A. CI=1, e22-2, c), 3 B. CI= 15, c2a 12, c = 18 C. CLI = 45, e2 - 40, es -35 D. CI= 12, e2- 18, c =35 E. CLI=1, e22= 15, e- 45

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**Question 24: Matrix Multiplication**

The question asks for the values of \( c_{1,1} \), \( c_{2,2} \), and \( c_{3,3} \) in the resulting matrix when two given matrices are multiplied.

**Given Matrices:**

- First Matrix:
  \[
  \begin{bmatrix}
  1 & 0 & 0 & 1 & 2 & 3 \\
  0 & 3 & 0 & 4 & 5 & 6 \\
  0 & 0 & 5 & 7 & 8 & 9 \\
  \end{bmatrix}
  \]

- Second Matrix:
  \[
  \begin{bmatrix}
  c_{1,1} & c_{1,2} & c_{1,3} \\
  c_{2,1} & c_{2,2} & c_{2,3} \\
  c_{3,1} & c_{3,2} & c_{3,3} \\
  c_{4,1} & c_{4,2} & c_{4,3} \\
  c_{5,1} & c_{5,2} & c_{5,3} \\
  c_{6,1} & c_{6,2} & c_{6,3} \\
  \end{bmatrix}
  \]

**Possible Answers:**

A. \( c_{1,1} = 1 \), \( c_{2,2} = 2 \), \( c_{3,3} = 3 \)

B. \( c_{1,1} = 15 \), \( c_{2,2} = 12 \), \( c_{3,3} = 18 \)

C. \( c_{1,1} = 45 \), \( c_{2,2} = 40 \), \( c_{3,3} = 35 \)

D. \( c_{1,1} = 12 \), \( c_{2,2} = 18 \), \( c_{3,3} = 35 \)

E. \( c_{1,1} = 1 \), \( c_{2,2} = 15 \), \( c_{3,3} = 45
Transcribed Image Text:**Question 24: Matrix Multiplication** The question asks for the values of \( c_{1,1} \), \( c_{2,2} \), and \( c_{3,3} \) in the resulting matrix when two given matrices are multiplied. **Given Matrices:** - First Matrix: \[ \begin{bmatrix} 1 & 0 & 0 & 1 & 2 & 3 \\ 0 & 3 & 0 & 4 & 5 & 6 \\ 0 & 0 & 5 & 7 & 8 & 9 \\ \end{bmatrix} \] - Second Matrix: \[ \begin{bmatrix} c_{1,1} & c_{1,2} & c_{1,3} \\ c_{2,1} & c_{2,2} & c_{2,3} \\ c_{3,1} & c_{3,2} & c_{3,3} \\ c_{4,1} & c_{4,2} & c_{4,3} \\ c_{5,1} & c_{5,2} & c_{5,3} \\ c_{6,1} & c_{6,2} & c_{6,3} \\ \end{bmatrix} \] **Possible Answers:** A. \( c_{1,1} = 1 \), \( c_{2,2} = 2 \), \( c_{3,3} = 3 \) B. \( c_{1,1} = 15 \), \( c_{2,2} = 12 \), \( c_{3,3} = 18 \) C. \( c_{1,1} = 45 \), \( c_{2,2} = 40 \), \( c_{3,3} = 35 \) D. \( c_{1,1} = 12 \), \( c_{2,2} = 18 \), \( c_{3,3} = 35 \) E. \( c_{1,1} = 1 \), \( c_{2,2} = 15 \), \( c_{3,3} = 45
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