linear algebra
posted by Angela .
I am trying to find the inverse of matrix A but I don't know how to do it with sin and cos. Please help.
A=6e3tsin(6t) −6e4tcos(6t)
−5e3tcos(6t) −5e4tsin(6t)
then A−1=

The inverse of a 2x2 can be done as follows:
For matrix, A=
a b
c d
The inverse A^{1}=
d b
c a / (adbc)
For example:
If A=
4 5
6 7
A^{1} =
7 5
6 4 / (2830)
=
3.5 2.5
3 2
Check:
4 5 3.5 2.5
6 7 3 2
=
1 0
0 1
Respond to this Question
Similar Questions

calculus
Find an equation for the surface consisting of all points P(x, y, z) equidistant from the point P(0, 1, 0) and the plane x = 3. Answer Choices: 1. y2 + z2 − 6x + 2y − 8 = 0 2. x2 + z2 + 6y − 2z − 8 = 0 3. y2 … 
Math Trig
13. What is the equation of a cosine function with amplitude 3, transition point (−1, 1), and period p? 
biology
Given the part of the molecule shown below, can the underlined atom participate in a hydrogen bond with an approriate bonding partner? 
Grade 12 Calculus
Evaluate each of the following. Show all your calculations. a) f'(3) if f(x) = x^4 − 3x b) f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8 c) f" (1) if f(X) = −3x^2 − 5x + 7 … 
calculus (gr 12)
Evaluate each of the following. Show all your calculations. a) f'(3) if f(x) = x^4 − 3x b) f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8 c) f" (1) if f(X) = −3x^2 − 5x + 7 … 
calculus (gr 12)
Evaluate each of the following. Show all your calculations. a) f'(3) if f(x) = x^4 − 3x b) f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8 c) f" (1) if f(X) = −3x^2 − 5x + 7 … 
physics
Four charges −8 × 10^−9 C at (0 m, 0 m), −7 × 10^−9 C at (5 m, 1 m), −1 × 10^−9 C at (−2 m, −3 m), and 2 × 10^−9 C at (−2 m, 4 m), are arranged in the (x, y) plane as … 
science
1 A ……... is a rectangular array of numbers that are enclosed within a bracket . horizontal set vertical matrix 2 When the numbers of rows is equal to the numbers of columns equal to 'n'. Where m=n. Then is called….. … 
Linear Algebra
2. Suppose that T is a linear transformation from R2 to R4 such that T ((1, 1)) = (3, −1, 4, −3) and T ((2, −1)) = (3, −2, −1, −3). Determine the matrix of T (with respect to the standard bases). … 
precalc
Find the exact value of each expression, if it exists: the 1 are representing the inverse functions! (a) sin 1 (√2/2) (b) cos−1 (−1) (c) sin( sin−1 (π)) (d) cos−1(cos(−4π/ …