DP Further Mathematics HL Questionbank
1.2
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Description
[N/A]Directly related questions
- 16M.1.hl.TZ0.14a: (i) Explain why M is a square matrix. (ii) Find the set of possible values of det(M).
- 17M.2.hl.TZ0.4a.ii: Hence show that A is singular when \(\lambda = 1\) and find the other value of \(\lambda \) for...
- 17M.2.hl.TZ0.4a.i: Find an expression for det(A) in terms of \(\lambda \), simplifying your answer.
- 15M.2.hl.TZ0.7a: (i) Show that \({({A^T})^{ - 1}} = {({A^{ - 1}})^T}\). (ii) Show that...
- 10M.1.hl.TZ0.2a: Show that \(R\) is an equivalence relation.
- 10M.1.hl.TZ0.2b: The relationship between \(a\) , \(b\) , \(c\) and \(d\) is changed to \(ad - bc = n\) . State,...
- 12M.2.hl.TZ0.4A.a: Show that \(f\) is a bijection if \(\boldsymbol{A}\) is non-singular.
- 12M.2.hl.TZ0.4A.b: Suppose now that \(\boldsymbol{A}\) is singular. (i) Write down the relationship between...
- SPNone.1.hl.TZ0.14a: Show that any matrix of this form is its own inverse.
- 14M.1.hl.TZ0.10: The matrix A is given by A =...
Sub sections and their related questions
Definition and properties of the inverse of a square matrix: \({\left( {AB} \right)^{ - 1}} = {B^{ - 1}}{A^{ - 1}}\) , \({\left( {{A^{\text{T}}}} \right)^{ - 1}} = {\left( {{A^{ - 1}}} \right)^{\text{T}}}\) , \({\left( {{A^n}} \right)^{ - 1}} = {\left( {{A^{ - 1}}} \right)^n}\) .
- 10M.1.hl.TZ0.2a: Show that \(R\) is an equivalence relation.
- 10M.1.hl.TZ0.2b: The relationship between \(a\) , \(b\) , \(c\) and \(d\) is changed to \(ad - bc = n\) . State,...
- 12M.2.hl.TZ0.4A.a: Show that \(f\) is a bijection if \(\boldsymbol{A}\) is non-singular.
- 12M.2.hl.TZ0.4A.b: Suppose now that \(\boldsymbol{A}\) is singular. (i) Write down the relationship between...
- SPNone.1.hl.TZ0.14a: Show that any matrix of this form is its own inverse.
- 14M.1.hl.TZ0.10: The matrix A is given by A =...
- 15M.2.hl.TZ0.7a: (i) Show that \({({A^T})^{ - 1}} = {({A^{ - 1}})^T}\). (ii) Show that...
- 16M.1.hl.TZ0.14a: (i) Explain why M is a square matrix. (ii) Find the set of possible values of det(M).
