Question: Please help solving and showing the work for the following Matrices and Linear Algebra questions! > > } > > > (4) Find the angle

Please help solving and showing the work for the following Matrices and Linear Algebra questions!

Please help solving and showing the work for thePlease help solving and showing the work for thePlease help solving and showing the work for the
> > } > > > (4) Find the angle between the vectors 2 \".6 + 3 j + J3 k and 3 i 2 j + 3 k . (5) Find a nun-zero vector that. is perpendicular to both ? [2, 1, 4] and T? [193.11]. (6) Select all of the options below that are true for all n x n invertible matrices A and B. (I) det(AB) # 0 (II) AB = BA (III) (A + B) = A- +Bl (IV) det(A2B 143 B2) = det(A) det(B) (V) (AB) ' exists and equals A-1B-1 (7) Suppose b > 0 is a number and 3 0 0 0 A = ONLe OLoo 12 -7 1 B = 8 2 (a) Find det(ABA). (b) Find det (B-!) (c) Find det(-2A).(8) Suppose A is a 4 x 4 matrix and the following row operations reduce A to the identity matrix: . 9RI + R2 -> R2 . R3 RA . -5R3 -> R3- Find det(A). (9) Suppose A is a 3 x 3 matrix with det(A) = - and cofactor matrix C- (10 3 ) 2 Find A-1

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!