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Suppose that 2x2 M is the set of all matrices of order 2. Determine whether the set S
18] 2. Determine whether the given set is a basis for all 2x2 matrices - [ 6 7-] [! ( 1 [ ] [ ] [ [8] 3. Find the inverse of the matrix (if possible). I a b where ab #0 [ 2 -1 1 1 2 11 [2 2 2 a. Solve the following system of linear equations by using the inverse of a matrix. Sr -y = 1 13. +y = 7 -y +z = 1 c....
Let U be the set of all 2x2 upper triangular matrices with real entries show that B-{[6] [8]} is a linearly indepandewe set mo Explain why B is not a basis for U Include one more matry in B so that this becames a basis for U
(1 point) Determine whether or not the following sets S of 2 x 2 matrices are linearly independent. Select an Answer 1.S Select an Answer 2. S= 0 -24 -{(* 1)( 11 ) ( )} {CO 43), ( 129)} - {* *):( 1 )} {CO 1.0), ( 18) Select an Answer 3. S 4 4.): (°8 Select an Answer 4.S= 1 -3 9 4 %), (7 -31 e2 1)} -16
RXE 2. In order to determine whether or not order to determine whether or not a driver's education course improves the scores on a driving exam, a sample of 6 students were given the exam before and after taking the course. The results are shown below. Let d = Score After - Score Before. Student Score Score Before the Course After the Course 83 89 88 5d of su 86 Use a = 0.1 and test to see if taking...
determine whether the given set of invertible n × n matrices with real number entries is a subgroup of GL(n, R).... The set of all n × n invertible symmetric matrices. That is, the set of all matrices where A^T = A and det(A) notequal 0. [Important things to note are that (AB) ^T= (B^T)(A^T) and (A^T ) ^−1 = (A^−1 ) ^T .]
Q3- Show that the the set of upper triangular matrices of order 2 is a subspace of M22. (5 marks)
Determine whether the set S is linearly independent or linearly dependent. 2 -4 S={ 3 2 Note: you can only submit each part of this question once for marking. 2 -4 STEP 1: Determine if is a scalar multiple of 3 2 O scalar multiple O not a scalar multiple STEP 2: Determine if the set S is linearly dependent. O linearly independent linearly dependent
Q 2 (c) Let S be the set of matrices of the form A = a, a T ag arbitrosy where are real numbers. Show there exists a unique matrix E in s such that АЕА o in S. for all Marks ((1+3+37 +(2+3 + 8) = 20 Marks) MATH 2118 Online Class Exercise I Qla) Sketch the surface s defined by the equation z = =9-6tty! (6) Determine the equation of the tongent plane to the surface s given...
LO 2a 4) Let V be the set of diagonal 2x2 matrices of the form la ). Determine whether or not this set is a subspace of the set of all real-valued 2x2 matrices, M22, with standard matrix addition and scalar multiplication. Justify your answer.
Let W be the set of singular (noninvertible) matrices of order 2. Show that W is not a subspace of M2×2 with the standard matrix operations. Q1: Let W be the set of singular (noninvertible) matrices of order 2. Show that W is not a subspace of M2x2 with the standard matrix operations.-