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Question: If \\( B = \\begin{pmatrix} 1 & 2 & 1 \\\\ 0 & 1 & 0 \\\\ 2 & 3 & 1 \\end{pmatrix} \\), wh..
Question: What is the determinant of the matrix \\( \\begin{pmatrix} 3 & 2 \\\\ 1 & 4 \\end{pmatrix}..
Question: Find the determinant of the matrix \\( \\begin{pmatrix} 1 & 0 & 0 \\\\ 0 & 1 & 0 \\\\ 0 & ..
Question: If \\( A = \\begin{pmatrix} 1 & 2 \\\\ 3 & 4 \\end{pmatrix} \\), what is \\( |A| \\)?Optio..
Question: Calculate the determinant of the matrix \\( \\begin{pmatrix} 2 & 3 \\\\ 5 & 7 \\end{pmatri..
Question: What is the value of the determinant of the matrix \\( \\begin{pmatrix} 1 & 2 & 3 \\\\ 4 &..
Question: Evaluate the determinant \\( \\begin{vmatrix} 1 & 2 \\\\ 3 & 4 \\\\ 5 & 6 \\end{vmatrix} \..
Question: If \\( B = \\begin{pmatrix} 1 & 2 \\\\ 3 & 4 \\end{pmatrix} \\), what is \\( |B| \\)?Optio..
Question: Find the determinant of the matrix \\( \\begin{pmatrix} 2 & 3 \\\\ 1 & 4 \\end{pmatrix} \\..
Question: Evaluate \\( \\begin{vmatrix} 1 & 0 & 0 \\\\ 0 & 1 & 0 \\\\ 0 & 0 & 1 \\end{vmatrix} \\)Op..
Question: What is the value of the determinant \\( \\begin{vmatrix} 1 & 1 & 1 \\\\ 1 & 2 & 3 \\\\ 1 ..
Question: If \\( A = \\begin{pmatrix} 1 & 2 \\\\ 3 & 4 \\end{pmatrix} \\), find \\( |A| \\).Options:..
Question: Calculate the determinant \\( \\begin{vmatrix} 2 & 3 \\\\ 5 & 7 \\end{vmatrix} \\)Options:..
Question: Find the value of \\( k \\) for which the determinant \\( \\begin{vmatrix} 1 & 2 & 3 \\\\ ..
Question: Evaluate the determinant \\( \\begin{vmatrix} 1 & 2 & 3 \\\\ 4 & 5 & 6 \\\\ 7 & 8 & 9 \\en..
Question: If z1 = 1 + i and z2 = 1 - i, find z1 * z2.Options: 201-1Correct Answer: 2Solution: z1 * z..
Question: Find the conjugate of the complex number z = 5 - 6i.Options: 5 + 6i5 - 6i-5 + 6i-5 - 6iCor..
Question: If z = re^(iθ), what is the value of r if z = 4 + 4i?Options: 4√2842√2Correct Answer: 4√2S..
Question: Find the value of z if z^2 = -16.Options: 4i-4i4-4Correct Answer: 4iSolution: Taking squar..
Question: If z = 1 + i√3, find |z|.Options: 2345Correct Answer: 2Solution: |z| = √(1^2 + (√3)^2) = √..
Question: What is the real part of the complex number z = 5 - 4i?Options: 5-440Correct Answer: 5Solu..
Question: What is the value of |z| if z = 4 - 3i?Options: 5743Correct Answer: 5Solution: |z| = √(4^2..
Question: If z = re^(iθ), what is the value of z^2?Options: r^2e^(i2θ)re^(iθ)2re^(iθ)r^2e^(iθ)Correc..
Question: Find the value of (1 + i)^2.Options: 2i201Correct Answer: 2Solution: (1 + i)^2 = 1^2 + 2(1..
Question: If z = 1 + i√3, find the modulus of z.Options: 2√34√4Correct Answer: 2Solution: |z| = √(1^..
Question: What is the value of |z|^2 if z = 4 - 3i?Options: 2516712Correct Answer: 25Solution: |z|^2..
Question: If z = 1 + i, find z^3.Options: -2 + 2i2 + 2i01 + iCorrect Answer: -2 + 2iSolution: z^3 = ..
Question: Find the real part of the complex number z = 5 - 2i.Options: 5-220Correct Answer: 5Solutio..
Question: What is the conjugate of the complex number z = 2 + 5i?Options: 2 - 5i2 + 5i-2 + 5i-2 - 5i..
Question: Find the argument of the complex number z = -1 - i.Options: -3π/43π/4π/4-π/4Correct Answer..
