Find a unit vector x in R3 at which Q(x) is maximized,subject to xTTx=1.[Hint: The eigenvalues of the matrix of the quadratic form Q are 36 and -12.]A unit vector that maximizes Q(x)
x, lb, and ub can be passed as vectors or matrices; see Matrix Arguments. x = fmincon(fun,x0,A,b) starts at x0 and attempts to find a minimizer x of the function described in fun subject to the linear inequalities A*x ≤ b. x0 can be a scalar, vector, or matrix. Note Passi...
Step 4: Find the equation of the line through the intersection pointThe equation of the line in point-slope form through the point (7,1) is:y−1=m(x−7)Rearranging gives:mx−7m−y+1=0⇒mx−y−7m+1=0 Step 5: Use the distance formula to find mThe perpendicular distance...
What is the quadratic formula used for? This lesson will explain the quadratic formula. Study the formula's history, and view examples of the quadratic formula in use. Related to this Question Explore our homework questions and answers library ...
To specify that the state and input values can vary, assign an empty matrix ([]) to the index variables ix and iu. To specify that the output values are fixed, specify the value of the index variable iy as [1;2]. Get ix = []; % Don't fix any of the states iu = []; %...
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Find the matrix of the quadratic form. Assume x is in \mathbb{R}^3. a. 8x1^2 - 6x2^2 + 9x3^2 + 12x1x2 - 18x1x3. b. 8x3^2 - 6x1x2 + 10x2x3. T(x_1,x_2,x_3)=(-5x_2,7x_3) T(x_1,x_2,x_3)=(-4x_1+x_3,6x_1+5x_...
1. Find the sum and product of the eigen values of A=(bmatrix) 1&1&1 1&2&2 1&2&3(bmatrix) .2. Determine the matrix corresponding to the quadratic form x_1^2+2x_2^2.3. State Cayley Hamilton theorem. 相关知识点: 试题来源: 解析 1. A^3-6A^2+5A-I=0...
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Quadratic function:A quadratic function is given by the general equation {eq}f(x)=ax^2+bx+c {/eq}. The previous equation can be written in vertex form as {eq}f(x)=a(x-h)^2+k {/eq} where {eq}(h,k) {/eq...