Matrices | MSQ & NAT Series | Target IIT JAM Mathematics 2025 | L 1 | IFAS

[@iitjam_mathematics]

➡ 𝐅𝐑𝐄𝐄 𝐋𝐞𝐜𝐭𝐮𝐫𝐞𝐬, 𝐩𝐫𝐚𝐜𝐭𝐢𝐜𝐞 𝐪𝐮𝐞𝐬𝐭𝐢𝐨𝐧𝐬 & 𝐦𝐨𝐫𝐞: bit.ly/41buOC0 💰𝐏𝐮𝐫𝐜𝐡𝐚𝐬𝐞 𝐋𝐢𝐯𝐞 𝐂𝐨𝐮𝐫𝐬𝐞 𝐇𝐞𝐫𝐞 𝐚𝐭 𝐁𝐢𝐠 𝐃𝐢𝐬𝐜𝐨𝐮𝐧𝐭𝐞𝐝 𝐏𝐫𝐢𝐜𝐞 :- bit.ly/4dZ7UD9 💰𝐏𝐮𝐫𝐜𝐡𝐚𝐬𝐞 𝐑𝐞𝐜𝐨𝐫𝐝𝐞𝐝 𝐂𝐨𝐮𝐫𝐬𝐞 𝐇𝐞𝐫𝐞 𝐚𝐭 𝐁𝐢𝐠 𝐃𝐢𝐬𝐜𝐨𝐮𝐧𝐭𝐞𝐝 𝐏𝐫𝐢𝐜𝐞 :- surl.li/dsabzx 📺 𝐘𝐨𝐮𝐓𝐮𝐛𝐞 𝐂𝐡𝐚𝐧𝐧𝐞𝐥:: kzbin.info/door/g7ESZu0ESsWIHAwysBetbQ 📲 𝐓𝐞𝐥𝐞𝐠𝐫𝐚𝐦 𝐆𝐫𝐨𝐮𝐩: t.me/IITJAM_NBHM_MScEntranceMathDSCN 📸 𝐈𝐧𝐬𝐭𝐚𝐠𝐫𝐚𝐦 𝐏𝐚𝐠𝐞 : instagram.com/ifas_maths__iit_jam_cuet_nbhm/ 📘 𝐅𝐚𝐜𝐞𝐛𝐨𝐨𝐤 𝐏𝐚𝐠𝐞 : facebook.com/MScEntranceMaths/

[@anil_yadav-j5i]

thanku sir for this series

[@zero-sl3bn]

H.W. Since spanning set has 2 elements and 1 is not scalar multiple of other they map the basis of 2 dim which contradicts out result of 1 dimension null space

[@rustumkhaire7193]

p(1)=0

[@heeralalbind]

H w d is not currect answer

[@rustumkhaire7193]

null space k definiton

[@tan2034]

The null space of an m×n matrix is written as null A is the set of all solutions to the homogeneous equation Ax=0

[@sandhyakumari8718]

Which of the following is a subspace of the real vector space R^3 (a) [(x ,y,z)€R^3; y€Q] (b) [(x,y,z)€R^3; (y+2)^2 + (2x+3y)^2=0] (c) [(x,y,z)€R^3; x+2y-3z+1=0] (d) [(x,y,z)€R^3; yz=0] Sir please iska solution bata dijiye option b nhi samaj aa rha h

[@WELCOMETOBEAUTYWORLD]

Option b

[@zero-sl3bn]

@@sandhyakumari8718 sum of squares are always either positive or zero so we can get y+2=0 and 2x+3y=0 (in R) both are linear that's why this is subspace

[@sandhyakumari8718]

​@@zero-sl3bn Thank you

[@sandhyakumari8718]

How it will satisfy the zero vector condition ?

[@zero-sl3bn]

@@sandhyakumari8718 oops I didn't saw the equation clearly I guess none of them are subspace 😅 Edit: (I thought it was 2x my mind didn't registered)