For what positive, real value of A is the determinant of the matrix \( \begin{bmatrix} A & 2 \\ 1 & 2 \end{bmatrix}\) equal to A?
**(Note: The determinant of any matrix \( \begin{bmatrix} A & B \\ C & D \end{bmatrix}\) equals ad − bc.)
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Question 2 of 4
2. Question
For what positive, real value of X is the determinant of the matrix \( \begin{bmatrix} X & 2 \\ X & X \end{bmatrix}\) equal to X?
**(Note: The determinant of any matrix \( \begin{bmatrix} A & B \\ C & D \end{bmatrix}\) equals ad − bc.)
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Question 3 of 4
3. Question
What positive, real value of Q satisfies the given equation \(Q*\begin{bmatrix} 2 & 2 \\ 1 & 0 \end{bmatrix}= \begin{bmatrix} 4 & 4 \\ 2 & 0 \end{bmatrix}\) equal to X?
**(Note: The determinant of any matrix \( \begin{bmatrix} A & B \\ C & D \end{bmatrix}\) equals ad − bc.)
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Question 4 of 4
4. Question
What positive, real value of Q satisfies the given equation \(Q*\begin{bmatrix} 2 & 2 \\ 1 & 0 \end{bmatrix}= \begin{bmatrix} 4 & 4 \\ 2 & 0 \end{bmatrix}\) equal to X?
**(Note: The determinant of any matrix \( \begin{bmatrix} A & B \\ C & D \end{bmatrix}\) equals ad − bc.)
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Incorrect
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