Q of square matria Find the adjoint (A)- A= 3 5 니 2 Qe A) Find the Vector 5 unit length in the direction oļ vector perpendicular to the 1tane which passes through A(',2,3) B(3,2,5) and c (!,4,-1). 3 plot the polar graph r= 2 (1-sino) G3 Using Grtmers ule matrix Solve the system of linear equaitions 4X +42 =2+2 X y +42 = 6 X -Y-32 = -22

Q: 6) Describe all solutions of Ax = b, where 2-5 3 -5 2 A = -2 6-5 and b -4 7 0] Describe the general…

A: Given: A=2-53-26-5-470 and b=-5219. To Do: Describe the general solution in parametric vector form.

Q: l1 passes through the point with coordinates (3, 4, 5) in the direction of 2 1 l2 passes through the…

A:

Q: 2x₁ + 2x₂ + 4x3 = 8 - 6x₁-6x2-12x3 = -24 - 3x2 + 9x3 = 15 2x₁ + 2x2 + 4x3 = 0 - 6x₁-6x2-12x3 = 0 -…

A:

Q: ines in 2d: Determine the parametric, vector and scalar equations for line passing through (-2,11)…

A: Given :            to find parametric equations through a point (-2,11) and (6,1)…

Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(0, -1, 4),…

A:

Q: u = 3i - 5j + 2j and v = 7i + j -2k find the vector projection of u onto v

A:

Q: Q6\ Find parametric equations for line through P(-3, 2, -3) and Q(1, -1, 4)

A: Question No. (6): To find the parametric equations for a line passing through the points .Note:…

Q: A line L, passes through the points A(0, -3, 1) and B(-2,5, 3). (a) (i) Show that AB= 8 6 2 (ii)…

A:

Q: c) Let A, B and C be linear maps from the two dimensional plane to the plane given in terms of…

A: Some definitions. Rotation map- For clockwise direction. Tθ: ℝ2→ℝ2T = cosθsinθ-sinθcosθ For…

Q: Find Vector, Parametric and Scalar equations for the line that passes through t -2,11) and (6,1).

A: Given: - The line that passes through the points -2,11and 6,1. To find: - The parametric equations…

Q: Equation of the plane passes through the point (1, 2, 3) and parallel to the vector A= 2i+3j :+k and…

A:

Q: Q Find the adjoint of square matria (A)- A= 6 0 2 %3D

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Which pairs of these maps commute. • Which are correct identities and why i) A? = c ii) C² =1 i) A*…

A:

Q: Write the equation of the plane passing through P with direction vectors u and v in vector form and…

A:

Q: Show that a counterclockwise rotation in R^2 through an angle α is described by the matrix Rα =…

A: A rotational matrix, also known as a rotation matrix, is a special type of square matrix used to…

Q: Find the scalar and vector projections of b onto a. a = (-3, -6, 2), b =(3, 3, 1) compab = 3.571428…

A:

Q: QUESTION 23 Find the vector equation of the line through the point 71and perpendicular to the plane…

A: The vector equation of a plane is, a→ is the vector on the plane given and r→ is the variable vector…

Q: Sketch the vectors

A: Solution : The magnitude  of |a| , |b|, |c| are  |a|=a1+a2|b|=b1+b2|c|=c1+c2 a=(-3)2+22     =9+4…

Q: Triangle ABC has points A(-1,2), B (0, -3) and C (1, 2). A translation of this triangle results in…

A: Observing from the given point we conclude that

Q: • Which pairs of these maps commute. Which are correct identities and why i) A? = c i) c² = 1 ii) A*…

A: