Cramer's Rule
Cramer's Rule is a mathematical technique employed to solve systems of linear equations by expressing the solution in terms of determinants. Named after the Swiss mathematician Gabriel Cramer, the method provides an alternative approach to traditional matrix methods for solving simultaneous equations. By leveraging determinants, Cramer's Rule offers a systematic and concise way to find the unique values of variables in a system, making it a valuable tool in linear algebra and systems of equations analysis.
Questions
- How do you combine like terms in #2h + 4j - 4( 2h - 8j + 3k )#?
- How do you solve #(- 0.375) + \frac { 3} { 4}#?
- Show all Polygonal Sequences can be generated by solving the Matrix equation #Avec(x)= vec(b)# where #A# is #[[1, 1, 1], [4, 2, 1], [9,3,1]]# and #vec(b)=[[a_1], [a_2], [a_3]]# is the column vector? Show that #vec(x) =A^-1vec(b)# for all sequences?
- Let #\mathcal{B} = {[[-2],[-1]][[3],[4]]} = {vecv_1, vecv_2}# find #[vecx]_\mathcal{E} # Knowing that #[vecx]_\mathcal{B}= [[-5],[3]]#?
- How do you solve these set of linear equations: #3x + 2y + z - 7; 5x + 5y + 4z = 3; 3x + 2y + 3z = 1#?
- Show that, #(1+cos theta + i*sin theta)^n + (1+cos theta - i*sin theta)^n = 2^(n+1) * (cos theta/2)^n * cos (n*theta/2)# ?
- How to consctruct logical scheme and assembly scheme for that booleean function:#(ao+b)(a+c)#?
- How do you add #(4c ^ { 3} - 5) + ( 2c ^ { 3} - 3- c ^ { 5} )#?
- Find the general solution ?
- How do I use Cramer's rule to solve the system of equations #x+2y=-1# and #2x-3y=5#?
- How do you use the echleon method to solve the system of equations #\frac { 1} { 4} x + \frac { 1} { 4} y = 1# and #\frac { 1} { 5} x - \frac { 1} { 5} y = \frac { 12} { 5}#?
- Prove that R^n/R^m≃R^(n-m) as groups,where n,m∈N,n≥m?
- What is the product of #(- 3x y ^ { 2} ) ( 5x ^ { 2} y ^ { 3} ) #?
- How do I use Cramer's rule to solve the system of equations #3x+4y=19# and #2x-y=9#?
- How to do 15th question?
- How do you combine like terms in #(x ^ { 3} - 10x y + 5y ^ { 2} ) - ( 11x ^ { 3} + 5x y - 11y ^ { 2} )#?
- How do you multiply and simplify #\frac { s t u ^ { 0} v } { s ^ { 2} t ^ { 3} u v ^ { 0} \cdot s ^ { 0} t ^ { 0} u v ^ { 0} }#?
- C less than the product of a and b?
- How do you combine like terms in #(6c ^ { 3} ) ^ { 4} * 5c ^ { 5} + \frac { c ^ { 21} } { c ^ { 4} }#?
- If the roots of the cubic equation #ax^3+bx^2+cx+d=0# are in G.P then which of the following is correct ? A) #(c^3)a=(b^3)d#; B) #c(a^3)=b(d^3)#; C) #(a^3)b=(c^3)d#; D) #a(b^3)=c(d^3)#