You are given a matrix
"A=\\left(\\begin{array}{cccc}1 & -2 & -1\\\\ 2 & -3 & 0 \\\\1& -1 & -3\\end{array} \\right)."
Which of the following are true about A?
Determine the numerical value of the following expression without the use of a calculator: log10 (1000100) 100 + X 100 n=1 sin(πn) + 1 (−1)n ! · vuut 1000 Y m=1 1 cos(πm) 2
Consider the system of equations
"\\begin{array}{ccc} +x&&+z&=2\\\\ +x&+y& &=0\\\\ & +y&+z&=2\\end{array}."
.
Which of the following statement(s) is/are true?
Given that "A^{-1}=\\frac{1}{\\textup{det}(A)}\\begin{bmatrix}d&-b\\\\-c&a\\end{bmatrix}" with "\\textup{det}(A)\\neq 0", consider the following statements:
(i) "\\frac{1}{\\textup{det}(A)}\\begin{bmatrix}d&-b\\\\-c&a\\end{bmatrix}=\\frac{1}{\\textup{det}(A)}\\textup{adj}(A)" ;
(ii) "A=\\begin{bmatrix}a&c\\\\b&d\\end{bmatrix}^T" ;
(iii) "\\textup{adj}(A)=\\begin{bmatrix}d&-c\\\\-b&a\\end{bmatrix}^T"
Which of the above are true?
Let A and B be n×n matrices such that "\\textup{det}(A)\\neq 0" and "\\textup{det}(B)\\neq 0". Consider the following statements. Based on the properties of determinants which of the following is false?
Polynomial Inequalities:
10) 6 + 5x - 6x^ 2 > 0
show number line and answer in interval notation
Polynomial Inequalities:
9) 2x^2 > 5x + 3
show number line and answer in interval notation
Polynomial Inequalities:
8) x^2 + 7x < -12
show number line test and answer in interval notation
Polynomial Inequalities:
5) 9x - x^2 < 0
show number line test and answer in interval notation
Polynomial Inequalities:
4) x^2 + 8x > 0
show your number line test and state answer in interval notation