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For some numbers a, b, c. for what values of the numbers a, b, c the matrix b is invertible? find the formula for the inverse of b

User Jislam
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1 Answer

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Final answer:

The values of numbers a, b, c that make matrix B invertible depend on the determinant of the matrix, which is not provided. The question likely refers to the discriminant of the quadratic equation, which must be non-negative for real solutions to exist.

Step-by-step explanation:

To determine for what values of the numbers a, b, and c the matrix B is invertible, we would typically look at the determinant of the matrix if it was provided.

Since the question seems to be misphrased and does not offer a matrix, but provides values and refers to the quadratic formula, we can address the condition for the quadratic equation ax2 + bx + c = 0 to have solutions, which relates to the discriminant b2 - 4ac.

The quadratic formula -b ± √(b2 - 4ac) / 2a yields real solutions if the discriminant is non-negative. When the discriminant is positive, there are two distinct real solutions; when it is zero, there is exactly one real solution (a repeated root).

User Rossella
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