Find c1 and c2 such that M2+c1M+c2I2=0, where I2 is the identity 2×2 matrix and 0 is the zero matrix of appropriate dimension.

The question is missing parts. Here is the complete question.

Let M = . Find and such that , where is the identity 2x2 matrix and 0 is the zero matrix of appropriate dimension.

Step-by-step explanation: Identity matrix is a sqaure matrix that has 1's along the main diagonal and 0 everywhere else. So, a 2x2 identity matrix is:

Solving equation:

Multiplying a matrix and a scalar results in all the terms of the matrix multiplied by the scalar. You can only add matrices of the same dimensions.

So, the equation is:

And the system of equations is:

There are several methods to solve this system. One of them is to multiply the second equation to -1 and add both equations:

With , substitute in one of the equations and find :

For the equation, and

step-by-step explanation:

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