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You build $X_2 = 0.6\,Z_1 + c\,Z_2$ from independent standard normals so that $X_2$ is standard normal with correlation $0.6$ to $X_1 = Z_1$ . What is $c$ ?

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Definiteness, Cholesky and generating correlated normals

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You build X2=0.6 Z1+c Z2X_2 = 0.6\,Z_1 + c\,Z_2X2​=0.6Z1​+cZ2​ from independent standard normals so that X2X_2X2​ is standard normal with correlation 0.60.60.6 to X1=Z1X_1 = Z_1X1​=Z1​. What is ccc?

More linear algebra questions

You build $X_2 = 0.6\,Z_1 + c\,Z_2$ from independent standard normals so that $X_2$ is standard normal with correlation $0.6$ to $X_1 = Z_1$ . What is $c$ ?