Suppose \( A \) is a nonsingular square matrix satiszging \( A^{2}=A \) choose correct statement 1. \( A \) has no inverse and det(A) \( =-1 \) 2. \( \operatorname{det}(A)=0 \) or \( \operatorname{det}(A)=-1 \) 3. A has no inverse 4. none of the given options 5. \( A=I \), where \( \pm \) is the corresponding identity matrix 6. \( \operatorname{det}(A)=2 \) or \( \operatorname{det}(A)=-1 \)

iraficar la siguiente \( y=x^{2}+4 x-5 \)

Faktoriseer in Afrikaans \( 4(m-2 n)^{2}-25 \)

Multiply. \[ \begin{array}{l}(\sqrt{2}+7 \sqrt{5})(6 \sqrt{5}+\sqrt{2}) \\ \text { Simplify your answer as much as possible. }\end{array} \] II .

Simplify the expression. Assume that the variable is unrestricted and use absolute value symbols when necessary. \[ \sqrt{y^{2}-2 y+1} \]

Use the Factor Theorem to determine whether \( x-2 \) is a factor of \( P(x)=x^{3}-3 x^{2}-4 x+ \) Specifically, evaluate \( P \) at the proper value, and then determine whether \( x-2 \) is a factor. \( \begin{array}{l}P(\square)=\square \\ x-2 \text { is a factor of } P(x) \\ x-2 \text { is not a factor of } P(x)\end{array} \)